Hi there,
Cheaper to buy or rent your own home I presume you mean? not renting a B&B to run?!
I think you mean your own home, and the answer to that is what's the size of your wallet/Purse? and what kind of property and long term plans do you have? - costs vary and added to that is of course is what you're after. Some will say if you buy, once the mortgage is paid off then it's cheaper to have bought as you'll have an asset in your name. Other's say renting is cheaper as you are not tied down and can move without hassles later if needed.
Running a B&B is a full time job, and from what I've seen, is quite demanding as well. Good points would be you'll live in the property as well, a couple of rooms to yourselves. The business would be effectively in operation 24 hours aday. If it's something you'd like to do, look into all the financials of it, I'm sure as a foreign investor you can do this, I think it may just take substantial amounts of investments to either take an existing B&B over or to open one up.
Good luck, DtM! West London & Slough UK!