Box truck sounds expensive to me, dont they charge by the mile plus get poor MPG?
2500 lbs /7 ~= 350 lbs per vac. Easily handled with a hand truck & ratchet strap, cheap to buy if you dont have one.
If it were me I'd simply strap them onto a hand truck and roll them up the ramp on a trailer, lay them all down and ratchet strap them.
Yes I'd use foam/blankets/cardboard for protection against scratches, pebble dings, etc.
If you lived near me you could borrow my hand truck & trailer.
No reason to haul them standing up that I can think of, is there?
No reason you need to protect them from the weather, is there? (That is the reason for a box truck IMO)
FYI I've built temporary "custom" racks for my trailer out of 2x4s when I needed to haul odd/assorted/numerous items long distances. (For example 4 kayaks + 6 bikes + coolers, fishing & camping gear for 10 days on a small trailer.)
Bolt the 2x4 rack to the deck, make sure you have good cross bracing. Use lots of ratchet straps for stability. Then when you're done you can take it apart & reuse the 2x4s for another project.