You also need to consider the ability of the tow vehicle in STOPPING the loaded trailer behind. LOTS of small vehicles can move the loaded trailer, but would never be able to stop it should the brakes go out. Brakes do that sometimes, even in the best maintained trailers.
Also you need to consider the length of tow vehicle. Short wheel bases are much less effective in CONTROLLING that load behind. Especially true if they are only equal or less length than the trailer.
Know that a Suburban is BIGGER in size, length, than a Tahoe and other small SUV types. Suburban is built on a full size TRUCK frame, just has an enclosed body instead of the open bed. I strongly suggest using a Suburban for towing, over any of the other named SUVs, because it is better able to control the load behind and stop the whole package, if brakes get lost.
Minimizing your tow vehicle, even with light trailer, one horse, is a really bad way to get into hauling horses. I understand about how the daily drive vehicle costs money with bigger engine, more weight. But DANG, horse hauling is not something you want to be under-powered for!! I know more than one “cute SUV, Jeeps”, that got tossed into the roadside ditch hauling one horse and the trailer went out of control. Some horses lived, others did not, with various injuries to the people. One person swore the backwash from a semi is what made her lose control on dry pavement, nice sunny day! She had driven many miles with this little, CUTE rig, suddenly she had no control and ROLLED into the highway ditch! Can you drive far and not expect to EVER meet a semi with air backwash?
You are going to ignore this, because LOTS of folks “get away with” driving their little vehicles with towing horse trailers. Above lady did… for a while. Other folks don’t, their number comes up and cute outfit is history because the laws of physics caught up with them. People may or may not come out of the wreck with injuries too.