Sounds like and interesting problem.;)
I think that there is a bit of time between getting the pilot's license and the float endorsement.
Plus, I'd rather ride a green broke horse into the back country than fly in with a greenie pilot.;)
Suggestions would include backpacking in which is definitely doable. See the backpacking section of this forum.
A crafty idea I've come up with is the use of pack animals.
I don't think much of donkeys but I think I could get along with a couple of pack goats for a short hunt.
Each goat can pack 60 pounds, an exceptional one will pack 80. They don't stray and you don't have to pack hay. Just a little oats for bribing.
1K will get you two trained goats with all the tack.
Additionally, with the new woof rules you can protect them.;)
When the hunt is over and you don't want to feed 'em all winter, they make pretty good burritos.
Short response - get a new horse source.