I’ve also been looking at bows but it appears the $300 is at the low end of the spectrum.
I was thinking about Bass Pro or Cabela's this weekend for a bit of recon (leaving my plastic at home of course!)
Bear archery makes a couple of bows which are believable and start at no more than around 400. The absolutely critical thing about a compound bow is draw length; it has to fit or you can’t use it. You need to figure out your draw lengths and the heaviest bows you can shoot comfortably and then go looking on ebay for bargains. Ebay has an infinite supply of used and new bows.