Find a cloud mining platform and lets mine this together.
So far, I see these ones:
Windows Azure (one month for free and you must give you credit card number - past first month, it is prohibitely expensive - save if Monero price skyrockets:))
Amazon EC2 (no information about it)
Some other VPS might have 3 Gb of RAM at a cheap enough price.
This requires first to check if this 3Gb of RAM thing is true and second to have an estimate of the price of Monero, and the evolution of the difficulty.