I would not care about changing an experimental to LSA. AFAIK it would gain you nothing. If the glider qualifies within the speed limitations of an LSA, a glider rated LSA pilot can fly it. An aircraft does not have to be registered as LSA for an LSA rated pilot to fly it.

Changing the program letter for a new location and region of flying is a standard practice for the "newer" program letters. It may require a reissue of the airworthy cert, I would keep it experimental for exhibition and racing.

I'm not sure if what is listed on the TCDS may restrict how it is certified, ruling out LSA.
BT