Other than that, allocating resources to an LLC pretty much shields them from personal claims
Chortle. No.

They can sue you in the state you took the loan out in or in some state you (or your assets) exist now. Again, given the absolute lack of information it's hard to say. However, again Nevada has a six year SOL in this case.

You don't domesticate lawsuits, you just file them. Domesticate is something you do to perfect judgements issued by other states.
NLSDS is a good indicator, but it's NOT DEFINING (no matter what you read). If it was a public (i.e., federally backed loan) you won't get a SOL discharge. If it's purely private backed, then you may.

What is the exact nature of the loan? Who was the lender? Was there a federal program involved?
Where was it taken out? What was the institution?
Where do you live now?