Hi,
You will have to check the overall length limits on the states you plan on towing through.
Then as long as you have a commercial license that says you can tow doubles, and your medical certificate is current, you are good to go. You will also have to keep a logbook while pulling the doubles, just like when driving a commercial truck. Yes even though you are on vacation, and clearly it is not a commercial tow.
Your partner will also need a commercial license if they plan on driving during the vacation too.
Fred.