All of my Shih Tzus have been great travelers. However, if your pup gets anxious after a couple of hours, you may need to lightly sedate. Check with your vet. It is very important you have all your pup's medical info with you. Having just the rabies tag won't do. La Quinta, Holiday Inn Express, Staybridge Suites and many others accept pets. Try this website.
Pet Friendly Hotels for Dogs and Cats - TripsWithPets.com