I would use the spare as is and carry the tire of choice as a loose spare tire.
Upon the need to use the spare tire, just find a shop to replace the bad tire with a brand new one on your good wheel. Most any shop can squeeze in a quick job like this on their busiest of days. No need to shop around, wait for shipping, or buy a tire you don't prefer.
I unfortunately proved this concept on I80 this year (leak, not a blow out) and will forever carry one temporary fully mounted spare and one brand new loose spare of my preferred tire...on long trips out of state.