I'd get the pet carrier and try it in the vehicle, if possible. you might be able to go a bit larger. The cargo area of the CX-5 struck me as a bit small for carrying dogs in, though. I don't think you would be unable to fit the one you described, however. I just measured from the center of the floor in the back to the top of the hatch opening (smallest space you must push crate through.) Got 33.25"