Can't set up address

First off, I'm about as big a noob as they come, so bear with me. But actually, that's just the problem. Because I'm new, I simply can't get BTCs. It's like waiting a month or more to get your money out of the bank.

I've installed Bitcoin-qt, but the blockchain is taking weeks to download, leaving me unable to receive BTCs. I'm sorry I don't have a NASA PC, but I use a laptop, & I have to reboot every now & then. Whenever I do, Bitcoin crashes & I have to reinstall it, which means I have to restart the blockchain.

All I want is a lousy working BTC address so I can receive BTCs for the immediate future (Bitcoin has given me an address, but I'm assuming it won't work until the blockchain is done). I could care less about the technology, the mathematics, the mining, etc. I don't understand any of it & I frankly don't want to. It has nothing to do with intelligence - I pick my knowledge battles, & I prefer to waste as little time fighting this one as possible.

Any help that will allow to me to get a BTC address with the least resistance would be greatly appreciated. Can I do it without waiting for a blockchain? No offense meant to BTC aficionados, I just want to do this without getting wrapped up in the technology. So the less complicated the better. Thanks!