There is a good write up on a guy that removed his spare from Canada in 2006 posts, but I can't find it. I remember his '06 Hummer was yellow and he spent lots of time on the conversion and posted several pictures. I know he had problems with air pressure in the car after covering the vent in the back tail gate. He had a custom solid plate made, but later ended up putting the vent in because of air pressure in the cabin. There was also a red one that removed the tire.
http://www.elcovaforums.com/forums/showthread.php?t=11678&highlight=removing+spare+ti re
As for towing - the non Alpha model with 4500# capacity is really stretching it and really hard on the drivetrain. I towed a 2800# Uhaul trailer out to Dillon in my '06 H3, and performance in the mountains was very marginal. Obviously your H3 did not come with the factory towing package.
http://www.elcovaforums.com/forums/s...ead.php?t=6429