Here's my $0.02

Like you I am partial to Bowtech. I shoot a Patriot Dually for my hunting rig. For hunting I look for a forgiving, quiet bow with speed (that I will weight down and turn into Kinetic energy). Quiet and speed are competing variables for those of us with normal wingspans (drawlength). You however are a different story. With a 31 inch draw you can get speed/power out of any bow. Any bow of course that comes with a 31 inch draw. The specs below were cut/paste off the BT web site. The only 31 inch draw below is the Pat Dually. If you are willing/able to change draw length down to 30 inches the others are available. You should make every effort to shoot all of the bows (mathews included) before you purchase any of them.

Patriot: Single. Forgiving 7 inch Brace height and excellent power out of a single cam bow which are typically more quiet than dual cam bows (all things being equal). You would not go wrong with this bow.

Patriot Dually. I shoot the dually because I'm a little bit of a speed junky with a 28 inch draw. I need a dual cam bow to get speed, you do not. I pay for it every time I draw this bow back, it is the definition of harsh draw cycle. I pay a little more for it when I shoot. Dual cam bows, all things being equal, are typically more noisy than a comperable single cam bow. It has a very forgiving 7 5/8 brace height. Pick this bow if you prioritize speed/power over quiet.

Extreme VFT: Nice bow but the 6 5/8 Brace height would keep me from buying it. It's impressive IBO speeds (equal to Pat Dually) are a direct result of this low brace height. With your 30-31 inch draw, speed is not a problem from any bow so I'd stick to more foregiving brace heights for hunting situations. If you are a speed junky or have excellent form, this bow may be an option.

Justice VFT. Extremely forgiving brace height of 8 inches and IBO speeds that arent too shabby. If I had to pick one of these bows for you, this would be it. I think it's a nice combination of all the things you want in a hunting bow. The one trade off is that it's a shorty. Some people shoot shortys and see no difference in them than they do a 38 inch axle to axle bow. Others claim shortys are less stable in the hand and dont group quite as well as the longer bows. It's give and take everywhere you turn. For shots at 30 yards or less with quiet speed and maneuverability, I think the bow for you is the Justice.

Justice VFT Specifications FreedomCam
Brace Height: 8”
Draw Length: 25” to 30”
Axle to Axle Length: 31 1/4”
Let Off: 65% to 80%
Mass Weight: 3 lbs 12 oz
IBO Speed Rating: 296 to 304 fps

Extreme VFT Specifications InfinityCam
Brace Height: 6 5/8”
Draw Length: 25” to 30”
Axle to Axle Length: 34 1/16”
Let Off: 65% to 80%
Mass Weight: 3 lbs 12 oz
IBO Speed Rating: 325 to 333 fps

Patriot VFT Specifications InfinityCam
Brace Height: 7”
Draw Length: 25” to 30”
Axle to Axle Length: 33”
Let Off: 65% to 80%
Mass Weight: 3 lbs 12 oz
IBO Speed Rating: 320 to 328 fps

Patriot Dually
Brace Height 7 5/8”
Draw Length 26” to 31”
Axle to Axle 35 1/8”
Let Off: 65%
Mass Weight: 3 lbs 11 oz
IBO Speed Rating: 326 to 334 fps