Thanks for all your suggestions--unfortunately, due to a miscommunication about where we were going, we wound up in Three Rivers and had only one meal in Visalia, at Mearless Drive-in--great old-fashioned fountain desserts. Thanks Colleen.
If anyone is ever in Three Rivers, check out the Cabin Coffeehouse/used bookstore. Best iced coffee I've ever had outside of my home, because he makes it the way I do at home--coffee ice cubes and cold coffee, rather than hot coffee on ice as at so many coffee joints. For breakfast, the We Three bakery has great enchiladas and eggs, and wonderful pastry.