Hi Bucko,
I thought you might like this:
Okay, so it's not a Tele - but it is a watermelon (albeit scratched up and seven years old now) I made in the back shed. Anyhow, it got me thinking about your "clear finish needs to be sooo thick" problem. Have you thought about using resin? Either epoxy or polyester. It's cheap, and goes on with a brush. Is cured enough to sand in a couple of hours - and if you've seen a surfboard or two - finishes to a sweet gloss with a bit of elbow grease.
My hollow-Tele build thread (Buttercaster inspired, cheers!) is coming soon and involves carbon/kevlar, Macassar Ebony, a whole lotta finger crossing and knockin' on wood.
NJD.