91extcab
+1y
You might be able to fit a wrench in between, but i don't think there is enough clearance to pull the bolts out if you can manage to get all three loose enough to drop the carrier. You might be able to undo the bed bolts enough to lift the rear just enough to get it out without interfering with your blow thru.
Or like stated above, cut the bastard off where it holds thru the center of the spare.
Or about a 20in long wide tipped flat head screw driver might allow you to drop the tire while laying under the back end of the bed...