First off, as mentioned above, definitely check the hunting regs in your state. Not all states allow crossbow.
I've been into traditional archery for a good number of years. I started with a recurve and have since switched to a Chastain longbow. And I love it!
This discussion has been a heated one in the archery community for years. I don't see the need for it to get heated, but a crossbow isn't really archery, in my opinion. What makes a bow difficult to shoot is the many things that can go wrong during your shot sequence. Did you get to full anchor, did you collapse upon release, did you get to your actual anchor point, did you pluck your release, did you use back tension, etc, etc, etc. The crossbow takes all of that out. In essence it's a rifle that shoots an arrow, which is fine if that's what you want to do.
People hunt for any number of reasons and the challenge alone is the main reason for many that I know who hunt with a tradbow. No matter what your weapon of choice, hunting is a challenge. You might be a dead shot at 600 yards with your rifle but if you can't find the animals then you're going home empty handed. I know a lot of compound shooters who transitioned to the tradbow to increase the challenge. With their compound they could kill at 80, 90, even100 yards. These are distances no tradbow hunter would even attempt. After getting lethal at those amazing ranges, they decided to increase the challenge by getting within "stickbow" range (20 yards and under for most hunters, up to 40 for a smaller number).
For what it's worth, I have an article in the current issue of Traditional Bowhunter Magazine about a bowyer who makes traditional English longbows I met while on a coaching trip in Ireland. Pick up the issue and see what you think. Maybe the tradbow is for you??
Whichever you choose, just remember a bad day hunting is always better than a great day at work. HA!