Yeah, table dynamics will often dictate how you respond to this sort of play, but I'd say in general this type of player is extremely susceptible to being trapped.
Any sort of obviously imbalanced play such as this is usually exploitable, but you might need to wait until the table dynamics change, or even a table change, before you can find yourself positioned to take advantage.
This sort of player also really needs to have position on you to take advantage of any perceived weakness in your post-flop game, much riskier to donk jam than jam over a checked turn.
Consider the stage of the tournament, early game overbets are often a legit attempt to extract value because it's the only way to get all the money in the pot.
Honestly, mid-game overbets are probably just a bad habit, but it might be worth considering that even with bad habits a person can be a very astute post-flop player. Your opponent might just be a better post-flop player than you and it may take some work figuring out how to adapt to their playstyle while you continue to learn and become better as you go.
You need to be committed to using your bluff catchers at the right time, you might get it wrong, but there's nothing wrong with a little demonstration if you're not going out of your way to make a bad play.
Don't be stubborn, though, be flexible, observant, patient and smart. Watch closely how the player interacts with the other players and try to get a read, especially where you observe similarities and differences with your own play.
A lot of the power of this playstyle revolves around the denial of fold
equity while simultaneously denying drawing
odds. If possible try to predict and preclude those turn bets with check-raising the flop all-in both for value and with your good draws (only at the appropriate time of course -- both stack and board dependent).
Whatever happens in a particular hand, knowing the likelihood of how events may unfold is hugely advantageous for you. Predict and plan, stick to the plan.
Be prepared to fold a lot rather than make marginal calls for dubious gains.
I nothing else, you almost always have real equity and you're going to be forced to use it against this player at some point. Try to make it as favorable as possible and cowboy-up.