It's not so much the stockings vs. putting them in your aquarium issue. It's the newer VMG emergency regulations...
designed to stop that horrible disease from spreading.
There are fish you cannot tote around in a live state and there is a list. Warmouths and pickerels are not on the list, so they should be ok.
But bluegills and pumpkins and rockbass are listed so make darn sure your warmouths are warmouths.
Do'nt know where to tell you to look for them. I fish more than a human being should be allowed to and have never caught a pickeral and dont get warmouths often enough to even remeber where.