Some other forums where drivers share their road gator damages (including oil & transmission pans):
Hit a freaking tire alligator on the freeway today doing 75 mph - Camaro5 Chevy Camaro Forum / Camaro ZL1, SS and V6 Forums - Camaro5.com
Transmission oil pan? - JeepForum.com
The OP stated that dodging the road gator wasn't an option in this particular circumstance due to the objects on both sides of the exit ramp blocking him......so he had to make a split second decision to either straddle it or go over it with his tires.
I'm not sure there is ever going to be a hard and fast rule on which way to try to avoid the most damage from a road gator....if you do have to hit it. It's all going to depend on the size and position of the gator...as well as the clearance on the vehicle and/or RV you may be pulling/driving.
It's probably going to be a danged if you do, danged if you don't deal.
I have a tire story to tell myself (imagine that). I was pulling a trailer load of tires on I-20 in Shreveport one time, on that horrible stretch of holes held together with patches of concrete that Weezer refers to in many of her posts. I hit a dip/hole/canyon in the road so hard that the trailers spare tire/rim that I was carrying in the bed of my truck actually bounced up over the tailgate and landed between my rear bumper and the trailer........ where I promptly ran over it with the trailer and it wedged/impaled itself under the angle iron at the rear of the trailer. You talk about sparks and burnt rubber by the time I finally got stopped from it skidding on the road. I was thinking I had broke an axle or something. Didn't even realize what had happened till I got stopped and saw it.
I thank my lucky stars that it stayed under the trailer, and a vehicle behind me didn't hit it....possibly causing a wreck/death.
First thing I did after finally getting the tire/rim out from under the trailer (it was hard), was find a Wal-mart and buy some new underwear. I didn't soil them, but this particular pair was shredded from all the muscle clenching. I was sore for days.