Reddit mentions of Mizuno Running Men's DryLite Inspire Mid Tights, Black, XX-Large

You can buy running tights in all sorts of lengths, ranging from "tight shorts" to full-length tights. Any running store worth their brick & mortar should have them, and you can buy them online from pretty much anywhere. This, for example, should work just fine.

Anyway, yes, tight shorts are the solution to inner-thigh chafing. Even the shortest men's models are usually long enough for this. It pays off to try them on though, because if the fit isn't right they'll ride up and either expose the chafing areas, or end up crammed between the leg and where the man parts attach, and cause chafing there.