The flat tires were in the front and the rear, making dead towing and wrecker towing difficult if pumped up and they leak. No water in the radiator is worrisome. I cracked a block moving a chevy pickup one time about 30 feet without water in the radiator.
I could be wrong, but I am thinking that trailering would work best with the tires being in this kind of unknown condition. If it were me, I would still opt for having a diesel mechanic do the go over and get a parts count or evaluation of the motor before molving. Might be something simple, but if not, at least you should get a good idea of what parts to bring down. Also, someone would have to bring a lot of water or buckets to fill and test for leaks prior to trying to attempt a start again. If the block is cracked, you might want to sell it locally rather than trailer it home to Ohio.
MDMorgan is probably a good choice to evaluate it on the spot tif he is available. I would PM him and see.