Good ideas. I am a member of the36-38 club where Jon Kanas has been more than helpful to me.
To answer your numbers--
1. I can think of only two things that could account for the problem--too much removed from the deck and/or head, or, less likely, a very thin gasket.
2. Hardened seats seem to be properly placed.
3. Valves are still in the head. They look perfect so far. Valve action looked fine when running, tappets correct, etc.
4. Clay is a great idea! Valves don't seem involved with my problem, but couldn't it be used to check clearance between piston and head?
5. I've learned that the 38 domed pistons will work.
I do have an extra 1936 head still on a parts car not run since about 1956. My wife thinks its possible to have too much of this crap lying around.