People are PT on usually very willing to help transport animals, however, you may want to give more details before this happens.
Where is the pup going from and to?
How old is the pup?
Does it get along with other animals?
Will it need to be crated during travel?
When does this need to happen?

You may want to go so far as to plan the best route, breaking it up into 1-2 hr increments, and ask for volunteers to take each leg.

Good luck getting this pup where it needs to go