I rented a Uhaul car carrier trailer, and it was a snap, turns out the car is not as low to the ground as it is low in the roof. I think I put long 2x8s under the wheels to ease it up on the trailer's ramps, when I loaded it, but I dont think I used them when I unloaded it. Mine is an 88 though and does have a long front splitter like some of the later Esprits do. The Esprit was light to tow on the carrier, I bought a Saab 900 Turbo once on a carrier and it was extremely front heavy and bottomed my tow vehicle almost. I dont think you'll have any problems if you are cautious and take your time.
The Uhaul trailer I had was pretty well thought out, it had a left side fender than folded over so you could open the driver's door without hitting it. I wanna say it was $89 bucks to rent this thing and return it to a different location than the renatl location, I think just the trailer was heavier than the Esprit though.
I considered a dolly, but that had me kinda thinkin twice, the trailer seemed more suiting a car like this. A dolly is for a cavalier or if you are in a pinch.
When my Esprit broke down prior to my owning it, the previous owner told me to never put it on a rollback, as the rear valance will hit, as mine did, it was cracked when I bought the car, I had to repair it.