Nate,
Your 2500 and 10k trailer is *probably* not sufficient for that haul.
You say your trailer is rated for 10k. Is that gross or payload capacity? If its gross, then you have to subtract the weight of the trailer itself -- which for most 10k steel trailers is about 2 to 2.5k (using my 10K steel trailer as a reference), which leaves you a payload of about 7 to 8k lbs -- meaning you'll either be right at max weight (per your estimate) or over weight. Which is not only dangerous, but could be expensive should the nice DOT gentleman invite you to cross his scale.
For what its worth, my '65 GMC firetanker (picture below) had a 1,000-gal tank. To corroborate what HCB and others said above (and below

), with no water, hose or fittings on board, it weighed right around 10K lbs.
As a professional CDL-A driver (I haul excavating equipment and am conversant with loading larger vehicles), it would be my personal opinion that even *if* that truck fits on a 10k trailer, I would strongly advise against hauling it for any distance involving hills or a major highway using a light trailer pulled by a light duty truck (any truck rated 1-ton or less i.e., 3500 or smaller). That rig is still going to be a handful even for an experienced driver -- especially if its a tag-along (on a ball or pintle hitch). That rig as a g/n might be manageable, but as a tag-along .... could be a lot of tail wagging the dog going on.
I once learned (a long time ago) that it is a bad idea to haul with too small of a tow rig. *Could* your rig manage the haul? Maybe. *Should* you try it? I wouldn't.
Stay safe. Do it right.
Thanks,
John