<<Disclaimer: Verify this information before applying it to your situation.>>
Thanks to all who sent response. Others sent replies that they too can't find GF walnuts. Below is a summary, divided into companies that confirm their walnuts as GF and brands that responders bought that had no indication of gluten in an allergen statement.
Confirmed by company:
Hines nuts
Nuts.com online
exAminer red walnuts
No label indicating presence/cross contamination:
Trader Joe's packaged
Whole Foods packaged
Harris Teeter market brand
Safeway market brand
Sprouts market brand
Fischer brand
Costco Kirkland brand
Mariani brand
Sara
Visit the Celiac Web Page at Http://www.enabling.org/ia/celiac/index.html
Archives are at: Http://Listserv.icors.org/SCRIPTS/WA-ICORS.EXE?LIST=CELIAC