It will not have much time before it hits water and the situation is not as conducive to strengthening.
Probably will hit as a Cat 1....maybe Cat 2 as well as it is staying organized though.
It's already looking like it is restrengthening a bit on the NE quad. The storm will never regain its symmetry but will still pack a punch up the coast. I think you are right about Cat1 or 2. I'd guess cat2 (around 100-110mph) upon second landfall.