Once you have it running reliably and if you can't find any suitable ammo for hunting give the guys at Tier One Armoury a call, they carry 300BLK hog hunting rounds and at least you'd be able to have a cartridge you know will do the job. I would avoid using anything loaded with a 110 V-max or similar. You'll need something made for hunting larger animals and keep in mind (you already know this but others may not) your way down on velocity compared to a 308 win so keep distances under 150yds to ensure you still have enough energy to get the penetration and expansion needed to ensure a quick humane kill.
I've been shooting 300BLK for years and a lot of guys don't realize that just like 6.8SPC or 6.5 Grendel you're sacrificing a lot of energy on target trying to hunt with these small cartridges. 6.5G is the most common one these days, it's a fantastic target shooting cartridge with a very efficient bullet that allows it to be shot accurately to some pretty impressive distances but the terminal energy is lacking.
There are starting to be some projectiles developed for hunting at these reduced velocities but most projectiles are designed for the velocities provided by 308win sized case capacities.