Suppressors are recently legal for hunting in Missouri, but the expense of one and the tax stamp are a bit much. A good suppressor may let you shoot some without hearing protection, which is exactly why they should be required for field use. You'd think the medical insurance industry would want that.
Suppressors reduce the report, but they don't quiet the action, which is nil on a bolt gun. Self loading actions tend to be the noisy part, the bolts clanking around are still as loud as ever, making at least as much noise as they would loading the first round. What suppressors help do is reduce or eliminate game being spooked by the report - hog hunters in Texas have reason to use them, and the hogs are even responding to the sound of bullets hitting hide when shot at, much less going nocturnal.
Aside from the $200 tax stamp, there is the purchase price, wait time, and your state's restrictions on use. That takes some research, the subforums here or at Silencertalk can fill in answers. Like universal CCW, it's far from a blanket approval.