Actually, some chapters do. Until a couple of months ago, there was no TC up here at Flagstaff; now there are two and a third is coming. The EAA website has a list of all the TCs, so you can find one local (or not so local) to you. Of course, my first experience with a TC was a real horror story (which is what inspired me to become one myself). Afterward, I found out that the local pilots knew the guy well and would have warned me off. If you don't have a chapter to ask, check with your local pilots.
That said, most TCs are great and having eyes on the project, while scary at first, is a real boon. By the time I got done, I was inviting anyone over I could get; A&Ps, other builders, TCs. It really boosted my confidence not only to have someone confirm my ideas but also to catch my blunders before I got too far for an easy fix. Thanks to all the advice, my first engine start and first 20 hours have been almost trouble free.