I moved the spare tire to underneath the queen bed upfront when I mounted the generator on the bumper. Fits nicely there with the tool bag and bottle jack.
Road service will change a tire, or tow you to a place that will sell you a new tire, but I don't think they will supply a spare if you didn't bring your own.
Really up to you, if you are OK with waiting around for road service to tow you to a tire dealer for a new tire, then fine, but be prepared for trip delays if happen to need a tire late at night when the stores are closed.
Personally I wouldn't travel without a spare tire. Be sure that you have a jack and lug wrench too! Even the TT's that give you a spare tire don't give you the tools to change it, and the equipment that came with your tow vehicle may not work....