I have a pair of Sugoi liner shorts that have thin padding. Sierra Trading Post often has shorts for really good prices. My favorites are the Shebeest SSS shorts. The padding seems to be just where I want it, and no more. I tried PI shorts. Ugh. But, my best cycling buddy swears by them (she also never changed out the guy's saddle on her road bike and I ride a comfy Brooks saddle). Try on as many as you can find. Make note of the ones you like, then keep an eye out for sales.
Deb