You can have a 99% chance of winning but I'm thinking that will result in competitive betting and large pots

EDIT: I misspoke saying you can't send more than 100% of the pot, sorry for any confusion.

So if you contribute more than 100% of the pot, you increase your chances, but never to 100%. for example, if pot is 500 asc, and you contribute, 1500asc, then total is 2000 and your odds are 75%