Ditto the suggestion of Doc’s for shrimp.
https://www.docsseafoodandsteak.com/
Also, Louisiana Lagniappe is good, if a little more spendy.
http://www.thelouisianalagniappe.com/orange-beach-menu/
Most everyone stays in condos, and IIRC most have a 3 night minimum. Try airbnb, brett-robinson, or vrbo.
I wonder if Cotton’s is still open? They had pretty good lobster.