In fig.1 below, the bridge is level and recessed into a 1-3/4" thick body. As you can see, the bridge block extends out the back of the body. Not good! In fig. 2, the front of the bridge is raised up out of the body by backing out the studs. The rear of the bridge is pulled down into the body by tightening the claw, which increases spring tension.
If you want to keep the bridge level and recessed, a thicker body would be needed. Plan on 1-7/8" to 2" thick. Keep in mind that if you go this route, string action may end up too low. To prevent the stings from touching the frets or the tops of your pickups, you'll likely have to raise the front of the bridge and/or add some shims under the saddles.
I recommend sticking with a 1-3/4" thick body and setting up the bridge like fig. 2.