Like most have said parlays and prop bets that pay huge +odds are your best bet otherwise this is a tall task even for the most seasoned handicapper. SJ's recommendation to take the Bulls/Thunder isn't a bad idea because you'll still get positive $$$. Also, if you can get the Thunder to win the West still you should probably throw some down there as well.
One of the first things I would do is find out how much I need to earn each week/month until you leave and break it into chunks - this will, at the very least, make it appear to be more attainable. I'm going to guess that you'll have to double your BR at least every week initially or maybe every couple days.
It's far enough away that you don't need to blow you load in one shot but you have to be fairly aggressive in your plays regardless. If you're not very adept at this then you better hope someone on here catches fire as you'll have to hit both the rest of the playoffs and baseball. Also, check out Roags thread or find him on twitter...his soccer totals are almost free money and you guys have something in common except he's turning 500 into 5000...GL