Best Buy warranty when I can't find the receipt

Mild thread necromancy: We just bought an Arcade model to replace the core one that failed after about 2.5 years. Now that BB has changed its replacement procedure, should I skip getting their plan? I’d REALLY rather get money back to buy a new one than go through MS, which will, based on my previous experiences with them, send me a refurb.

I’m considering Square Trade as well. Their plan is cheaper, and if my 360 can’t be replaced on the spot anyway, I might as well get the best deal.