Well it won't necessarily effect the price of Bitcoin in general, just the price against the US dollar. So those of us in the US would have a much better time with the recession.
But about your speaking of the US dollar crashing, the FED wouldn't just sit idle and watch the dollar crash and burn. They would lower the discount rate and reserve requirement to encourage bank borrowing and loaning to the public, they would also buy more OMOs to get more money in circulation. If we got ourselves into a situation in which we experience stagflation (like the 1970s) we would have to switch to supply-side economics and rely on companies trickling down.