I have towed a Honda Accord and Saturn on a dolly with out brakes many of times. We live here in GA. and have been to AZ, UT pulling a dolly. But I can say it's the speed you are going is where you can run into trouble. Take your time, don't be in a big hurry drive safe and I think you be OK without having brakes on a dolly. JMHO
We towed a Chevy Venture van on a dolly once and I will never do it again. What a royal pain the patoot. But, that being said, the dolly did have brakes. I would rather have brakes and not need them than not have them and get in a bind where I did need them.