It's not a great idea. I expect you will get a lot of responses about how the bad it will be, and they have some justification. The opportunities for bad things to happen are there for sure. But that is opportunities, not guarantees. The more roosters you have, the more likely you are to have problems, so I suggest keeping as few as your goals allow. Sounds like your goals may allow you to keep more than one, but be careful.
Some people report on here that they have 2 roosters with 1 hen or 3 roosters with 2 hens and don't have problems. This is not what I would expect, but it can happen. Each chicken has its own personality and each flock has its own dynamics. Some people report problems with 1 rooster with 20 hens. Usually the problems are worse with adolescent roosters. Their hormones just take over and they have no control. Usually they will outgrow this stage, but not always.
One problem you might have is them fighting and injuring or killing one another. This does not matter if you have 2 roosters and 1 hen or 2 roosters and 100 hens. They will determine who is top rooster. Often this happens and you don't really notice. Sometimes they kill each other. You just can't tell what will happen.
The biggest risk is that they might overbreed the hen. Some people view chickens mating as horrible and brutal, even when things go as they should. But a few things can go wrong. It is possible the two will mate the hen so often whe gets stressed out. Possible, but not assured.
It is also possible that the hen may receive damage from the mating. The damage I'm talking about is that the feathers come off the back, tops of wings, or back of the head. A little feather loss is no big deal, but the hen can get ripped apart by the spurs or claws. Chickens can become cannibalistic if they see open wounds on another chicken. The chicken can quickly end up dead. This is the problem I would worry about more than any other.
Are you guaranteed any of these problems? Not really. But the likelihood with 2 roosters and 1 hen is getting a bit high. I would worry.