At Queenston Tire, we have installed many low profile and run flat tires over the years including a highly modified Nissan GTR with front tire size 255/30R22 and rear tire size 295/25R22. It doesn't get much narrower than these.
We use this highly specialized, Italian made tire changer, for all our low profile and run flat tires. Nothing touches the top of your rim, avoiding any possibility of scratches on the surface.