It depends. If flying, I personally will not send any pet in cargo. I have read reports of too many sad stories. If you have a small pet, some airlines will allow one small pet per flight for a fee with restrictions on the type of carrier that must fit under the seat. If you must send a larger pet you should NEVER ship when it is real hot or cold. They could be on the tarmac and/or in the hold of the plane for quite some time before and after the flight, although the airlines say they are the last on and first off. You would probably get your best information from breeders and/or people who show dogs. They most often have to use the airlines and could give you the best advice.
If driving, there are a number of hotels and motels that are dog friendly. You can google "dog friendly motels" and obtain lots of information. You usually have to pay a small fee and there may be a size restriction. Our biggest problem is that many say you cannot leave the pet in the room unattended. That makes it difficult to go out to eat unless the dog can be left in the car (too hot? or safe?). We have crated our dog and gone out for a short time and gotten by with it. We use the crate so that if any motel staff have reason to enter the room they will not be startled and they will be assured that the dog will not be able to do any damage. I believe their other concern is that the dogs don't bark and disturb others while you are out which is most reasonable.