The main adjustment to bounty tournaments is, that you need to be more willing to get it in, when you can win somebodys bounty. Lets say its the first hand of a PKO, and some fish open ships from UTG for his 100BB stack. You look down at AKo in the big blind, and it folds to you. Now lets pretend, you know for a fact, that this player always has a small pair like 22-88, when he do this.
Then in a regular tournament you would fold, because dubbling your stack does not dubble your
expected value in the tournament due to the fact, you can only win one of the prices. This is commonly referred to as "ICM", although a better term is risk aversion. However in a bounty tournament, if you call and win, you will not only dubble your stack but also outright win a bounty, which in the most common format is 25% of your buyin.
And this more than compensates for the fact, that having twice as many chips does not quite dubble your expected value in the rest of the tournament. The best way to view this is, that if the starting stack is 10.000 chips, now there is a giant 2.500 ante in the middle, and this gives you significantly better pot
odds to make the call.
All other adjustments basically center around this idea of less risk aversion. If you are choosing between different lines, you should be more likely to choose the one, which puts your opponent all-in, if you can win their bounty. Like maybe a small river bet will get called more often, but if an all-in sizing allow you to win a bounty, then you should lean towards using that sizing.