+1 for just eyeballing it.
As a someone who thinks the LP is by far the best solid body guitar design ever, I don't like "standard" LP basses one bit.
The body (AFAIK
guitar body, but don't quote me on that
) is just too small not to look out of proportion as a bass.
That's why Gibson introduced the oversize LP bass, but IMHO, that don't quite cut it either.
Make a mock-up body from some cheap material and make it work