If traveling with piggies and arranging care for them when you can't take them with you is a problem, the last thing you need is a dog! LOL! Piggies actually travel pretty well... we take ours back and forth to the cottage all the time. Much better than my childhood dog, who was so carsick that we had to give her a sedative to get to the cottage without her becoming panicky and upchucking all over the car. I'm just kind of puzzled by that statement... if one variety of pet is an inconvenience while traveling, why would a larger (and unrestrained) pet be less of an inconvenience?
You basically have three options here... leave them with someone you know and trust, hire a pet-sitting service to come into your home and tend to them, or take them with you. Whatever option is the best is going to vary with circumstances, room in the car, etc. For what it's worth, my pigs have always travelled well to the cottage and back with us (2.5 hour drive.) They are anxious the first day or two with the cage in a new spot, but they settle in quickly. I have also had them stay with a friend or my parents at their house and have had a friend come into my house daily to check on them and give them food and water. Those have all worked out fine, though I prefer to just take them if I'm not going to be in a hotel. We have three kids, two guinea pigs, and two hamsters... our crappy minivan is extremely full whenever we have to go anywhere! LOL!