I fly a Luscombe on a PFA Permit. This is somewhat unusual as they were let on on the basis that there was no Type Certificate holder responsible for airworthiness. However it illlustrates that there are some factory built aircraft on PFA Permits.
Important question is hangared or not? If you buy a wood and fabric one like a Jodel you will deffo want hangarage so if no hangarage is available or if the cost is more than you want to pay then that will narrow your choice down.
You don't have to build, just buy one that someone else has built. All the usual caveats apply so seek out people who know the type, and preferably the individual aircraft. Also check that you can look after it. No point in buying a homebuilt in the expectation that your local friendly aircraft engineer will look after it for you, he may not want to.
Some PFA types may have handling characteristics quite different to what you're used to, a lot are tailwheel, and some have novelties like flaperons. They can also be very light and more susceptible to gusts or turbulence than something like a C150 or PA28.
So how do I find it? Well our Luscombe is all metal with an 85hp Continental. It's simple, robust, cheap to run, and I have a lot of fun in it. Cruises around 85kt and its endurance is greater than my own. It was built a year before I was and I'm 58 tomorrow!
Mike