Using $10 and splitting it into many parts will be better for me. But I don't know how long I can achieve $2,000 because that will be tough for me. Managing my bankroll like a pro will give me time to search for the games that I think can give me a win. Although that is not possible but if I can find the match that I know the team, I think I can have a chance to win. Winning in the contest will not be easy as many people will not give up chasing the prizes. They will do many things to hit the target so I don't think I can get it.
OP mentioned doubling the bankroll. I don't think it's a difficult task. For example, if someone has a $10 bankroll, to double it, they'll have to turn the $10 into $20. So, if you divide the $10 into $1 for each bet, it could take some time to turn the $10 into $10, because it's difficult to hit 10 bets with odds higher than 1.80 at the same time. Now, if you're patient and only take $1 on a bet with odds of 1.70 to 2.00, take the profit and save it. Then, bet another $1 on a game with odds of 1.90, you can make a profit if you hit. That way, in 15 games that you hit, you could have already doubled the $10. I know it's not an easy task, but it's not impossible.