if I'm driving ~ 50 miles or less from my house I don't normally bring a spare for my Hummer. I have AAA Premier if my friends can't pick me up to go get a spare from my garage. but more than 50 I will put a spare tire and the carrier on.
if you mainly do small trips and not many longer ones and if you could find a cover like that that is fairly easy to take on and off. then you could put the factory spare mount and tire back on if needed. Or even get an aftermarket bumper with a swingaway tire carrier.