Definitely a Compound Bow over a crossbow!! I have hunted with a bow for years!! I have both comp. & cross. If your good enough to shoot a bow don't even think about a cross. The crossbow is much louder than a compound and the pounds are not that much more than a compound bow!!
I shoot 3 different Mathews Comp. bows all shoot 325-335 FPS because I have a short draw length. If you have a longer draw you can get 335-350 FPS.
A crossbow can on a high side get 325-365 FPS. And your paying $700 - $1100 for the crossbow it self.
My Mathews loaded are $1100 - $1300 with everything!

If you wan't to see some cool SH-T check out the PSE TAC-15 for your ar-15 lower!! Upper sells for $1200 but it's SWEET!!!!!!!!!!