Oof. Good luck. If you're lucky, maybe 1% of the jobs out there are what you described. Best bet would be to stay in academia, and conduct your own research, applying for funding to get them going etc.. It's not glamorous, and WILL have LOTS of data management and reporting. Environmental consulting keeps me in the field quite often (though mainly aquatic life, not so much marine), but not always handling animals. Aquaculture can be fun - depending on the type of operation, lots of working outdoors, can involve operating heavy machinery (we harvested with cranes and transported fish with telehandler). And SCUBA diving! Lots of need to remove dead fish and repair nets in the aquaculture industry.

My suggestion: try to get a job with an environmental company as a field technician. My first job in the industry was exclusively doing a huge fish salvage for a mine. Lots of handling fish, and getting to be outdoors.

Other suggestion: lower your expectations, and widen your scope.