I'd go with varieties that people don't expect to be crisp, such as oatmeal-raisin, brownies/blondies, maybe even shortbreads. The more I think about it, just about any cookies that are okay chewy would work. No meringue kisses, no tuiles, nothing chocolate-dipped, of course, but many others should be fine. You can always tell people it's a new gourmet recipe 
