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We are making gluten free Cake Pops and everyone loves them including the gluten eaters!
Bakerella is the Queen of cake pops and she has a web site & a book.  I got the book, it is fabulous.  Most people are using a cake mix.  Guess I am just "old school"!  I now have enough cake decorating equipment and supplies to open a small bakery!  In fact, on one of my trips to Michael's the cashier asked me if I owned a bakery. smile... I am also going to start decorating small cakes and cup cakes.
One note, per Bakerella do not freeze the cake pops but you want them well chilled before dipping.  Also, she inserts the stick into the melted candy first & then sticks it in the cake pop and then dips the cake pop into the melted candy.
Here are some of the replies that I received. Recipes to follow in Summary 2.
RESPONSE:
I have never liked white cake so have never tried it but Betty Crocker has a white gluten free cake mix that  I heard someone rave about. I have a file of about  a hundred cakes and white is not one of them.
Even the supermarket in my small town carries them so you should be able to get it.

Another response:
My daughter is making gluten free cake pops for a bridal shower this weekend-she just baked a gluten free cake mix (we use the Betty Crocker ones but you can use anything), let it cool and crumbled in a bowl, and added spoonfuls of GF frosting till it was the right consistency to form into balls. Then we froze them, and dipped the frozen cake balls into melted chocolate and almond bark, then we rolled them in sprinkles while still wet and put sticks into the top.  They are gorgeous! And delicious too...we tested them out on a few non-celiac friends and the could not tell they were GF. 

Since you can't do rice flours, why not try a regular chocolate cake recipe like Texas Sheet Cake (which is a very moist cake anyway) and substitute bean flours and a bit of xanthan gum and I'm sure it would work well. http://www.cooks.com/rec/view/0,166,155166-246198,00.html

Let me know how they come out!  Ours are chocolate with white chocolate/almond bark coating and blue glitter sprinkles-beautiful!

Response:
Hi--I plan to make gf cake pops next month for our next GF support group picnic. I made regular ones at Easter time, using a strawberry cake mix and strawberry frosting, so I think I'll use a Betty Crocker yellow cake and use the same frosting.  Since it's half the size of a regular mix, I'll probably use 1/4 of a can of frosting, since the regular one uses 1/2 can of frosting that is mixed in w/the cake.  Crumble and mix. Roll in balls about the size of a walnut.  Chill.  Put in the sticks when you are ready to dip.
A tip----use a box of some type that will stand up and poke holes the size of the sticks (which I bought at Walmart in their cake décor section), now when you dip the cake balls in the melted candy coating, you have some place to stick them while they dry.  They don't turn out as nice if you lay them down.  Sprinkle them as soon as you put one in a hole, as the coating dries quickly.  I also bought the candy coating (white) at Walmart.

You can use a flower pot or something similar, put in the green floral styrofoam, (sp?) cover it w/cute paper if you want, then stick the cake pops in and you have a cute  display to serve.  My neighbor made some for a birthday party, she cut out a daisy shaped leaf from paper for each pop and stuck the stick thru the middle, then stuck them into the Styrofoam.  A ribbon tied around each one would also be cute.  My grown kids loved the pops!

Follow the instructions for baking the cake on the box.

Have you tried Bob's Red Mill vanilla cake mix?  I don't know what kind of flours are used.  I have made the recipe from Annalise Roberts "Classic GF Baking" cookbook for a white cake, but it uses a brown rice flour blend.
RESPONSE: 
I make cake pops all the time!  I love to do it.  However, I will admit that I'm a total cheater because I make them with mix cake and store bought frosting. As to tips, have a lot of patience with the freezer/fridge portion and I found it is fun to force the "dough" into cookie cutters to make shapes.  Admittedly I don't usually wait until the cake is fully cooled before adding the frosting. 
One more thing about cake pops, bakerella is the originator of the cake pop so that's the site I've gone to all the time. www.bakerella.com.

RESPONSE:
I *just* made gf cake pops on the weekend!  I used a Celimex white cake mix and the Betty Crocker icing (note that I live in Canada).  I took them into work to share with my GF coworkers and they loved them.  Others who do not eat GF had them and loved them also.  Definitely google "Bakerella" - she's the one who started the cake pop trend.  She has a really great book and even a video on Youtube.
 
Have you tried any of the cake mixes out there?  I'm sorry but I rarely bake from scratch, even before the diagnosis.
RESPONSE: 
We made adorable cake pops yesterday but used a cake pop machine
rather than the traditional way. Were on a time crunch so we used
Betty Crocker gf yellow cake mix. Served to a mixed gluten/GF crowd
and everyone loved them.

RESPONSE:
Not sure if this would work but the best white cake we have tried is from 123gluten free. 
Good luck.
RESPONSE:
I've made gf cake pops.
I used King Arthur chocolate cake mix and Trader Joes icing mix.  I baked the cake according to directions.  Crumbled it and added icing until consistency looked right for rolling a ball.  Then, I melted chocolate chips and coated the lollipop stick in the melted chocolate before inserting into the cake.  Next, I dipped the cake pop into the melted chocolate and then rolled it in sprinkles while still wet.  Be sure to insert the sticks into styrofoam piece to dry well.
It sounds like a lot of work - but it's fun and they were a big hit with lots of people - gf and not gf.
RESPONSE:
Cake pops at www.gfreelife.com
RESPONSE:
look at the recipe on my website glutenfreewannabe.com  These are chocolate and and dairy free.  I have not found a white cake mix, Betty Crocker has a yellow cake mix available.  I would melt white chocolate chips if I did not need dairy free.  Be careful not to use too much icing or they get too moist.

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