Slap bet over my achievement score

My brother and I agreed upon a bet last night.  I have until the end of July to beat his Gamerscore (about 2,000 more points than mine).  It should be easy for me to make up the initial 2,000 points, but here's the kicker.  He lives in a town with game rental stores, whereas I live in the buttcrack of nowhere.  But I've got several advantages of my own, in that I have a few "rainy day" games I've had around and never really played all that much, as well as a huge amount of free time.  We'll see who can win out!