If I have to tow my 2005 Cooper S from Boise, Idaho to Fife to have the recalled water pump replaced, will MW Mini cover the cost of the tow? There is no Mini dealership in Boise.

No

If the car is still running and the water pump seems fine, then drive in, get an oil change and the oil pump replacement part is covered by the recall.

Most likely not. They would probably only cover to the nearest Mini dealer. I would call and ask if they would cover it or authorize a closer ASE mechanic to do it