Plans built...Zenith sells their airplanes as plans and has a sweet STOL.
If you want to go really low budget, there's the Airdrome Aeroplanes WW-I replicas, but I'm wondering about the durability of them. They are LSAs but built more like an ultralight. But you can build a DR-1 replica and make every landing an arrival.
There's actually a lot of stuff out there for plans built - bearhawks, Bedes, hummelbird, Pietenpol, probably a dozen Cub replicas.
Specifically for the Verner motors, I'm not sure what there is. They're pretty low HP, so something more toward the ultralight side.
A Lazair? There's something strangely satisfying about a twin ultralight.