That is one sweet looking rig. I don't know what it is but a diesel coach towing an enclosed race trailer just does it for me. I love seeing them going down the road and wondering what they are hauling and will always make it a point to check them out when I see them in a campground.
Question, why don't you simply use the same trailer for hauling the Jeep and the dragster? We don't drag race any longer but when we did that is exactly what we did and it worked out well. We are now into the sand dunes and Jeeping quite heavy. We trade off hauling the Jeep with the Harley or the sandrail and quads if going to the dunes. Whatever is not in the trailer gets to hang out in the shop while the other toys are with us. I agree hauling in a trailer definately keeps the rock chips to a minimum and it is nice to arrive at our destination with everything nice and clean. An enclosed trailer is definately the way to go, I don't know how much damage you will save to the front of your Jeep on an open trailer. I do have our Jeep setup to flat tow and do on occassion because it is much easier when hopping from campground to campground but I like having my rolling shop with me. I just recently added the Roadmaster Tow Defender for this reason as I had gotten a few rock chips already and don't want any more. This past season I only flat towed it on two trips the remainder was in the trailer.
Our trailer is a 26' Haulmark Edge race trailer that we special ordered in Jan. 2008 and took delivery in April 2008.
I ordered it with extra height added, .040" exterior, 5' RV tongue, 7k pound axles, ATP flooring, L-shaped workbench/cabinet, two 500-watt exterior flood lights, two extra electrical outlets, four 12-volt chrome trimmed interior lights, floor mounted 8k pound winch, full-width door with the lighting mounted in the ramp door, 4' right side door with step under the trailer rather than the standard cutout in the floor and the race package which included aluminum interior paneling, electrical outlets and flourescent lighting.
Here it is hooked up in Moab this past season.

Interior shot with the sandrail loaded.

And a shot empty. I added the vertical stainless steel strips at the panel joints. When I ordered it they told me that the seamless interior was working out very well and I even asked about the extreme temperature swings we see here in Utah. They said not to worry as they would allow some movement. WRONG, first season four seams popped loose and had large gaps in the interior paneling. I had them repair it under warranty but when I got it back I spent three days cleaning the grimey glue covered and dirty fingerprints off of the interior. When it became disbonded again the following year I simply addressed the issue myself rather than involve the manufacturer.

Here is a link to the towbar bracket/crossmember that I fabricated to flat tow my Jeep.
http://www.rv.net/forum/index.cfm/fuseaction/thread/tid/25704761.cfmHere is my link on the Tow Defender install.
http://www.rv.net/forum/index.cfm/fuseaction/thread/tid/27298508.cfm