There are tons of products you could try for this dryness.
We all develop different post shave routines, depending on our various skin types, and what products we use for the rest of the process leading up to the post shave treatment.

Personally I use Thayer's Medicated SuperHazel most days, then I finish off with an Aftershave balm.

Check out this wiki article for a bit more info

Hope that helps a bit