Robert, you are catching on fast. Many designs are too heavy/too fast to make the LSA cut. Many like the Europa can be built with both long and short wings and be called a motor glider. Medical certification is the same as SP. A few advantages of gliders are:
No altitude restrictions.
Most have removable wings and can be stored in its trailer.
Higher gross weight is allowed.
If there is a outright prohibition against night flight, I haven't found it yet. Haven't bothered to look for it.
Gliders can be soloed by 14 year old kids.
Real easy to get as an add on rating. Counts as a BFR.
Great safety record.
Low gas bills.
Gliders are more aerodynamicaly refined resulting in more efficiency.
You can have retractable wheels and an in flight adjustable propeller.
You can do as many dead stick landings as you please without explaining it to the FAA.
Expect to do spins early in your check out.
Bob