These are supposed to be pretty good. Several members have owned them. On sale now for $799
Click hereBowtechDan these Kayaks are really good and stable. They’re heavier than a lot of other kayaks but for the type paddling you mentioned these do well. Mine is an Ocean Kayak Prowler 13. I’ve been happy with it too. Both are out of your price range new but used possibly can fall in there.
I bought a Vanhunk Black Bass in Mobile for $750 OTD. It's a rebranded Vibe Sea Ghost 13'. Raised seating, rudder, etc. Side pockets hold small tackle trays. Center compartment lid has fish ruled molded in. Front compartment has drain plugs and can hold ice for drinks or fish.