towing with a Honda Oddessy

I've been towing my current trailer with my Sienna for a 5 years now. It works great. The Odyssey should perform similarly. You do have to watch your weight, but you don't have to limit yourself to trailers with a GVWR of 3500 lbs. (Mine has a GVWR of 5600 lbs.) What's important is what it actually weighs when you're fully loaded and ready to go. (For me, that's about 3200 lbs.) In order to keep the weight down I don't carry water or food. I get those at my destination. I also tow at 60 mph, but you'll find a lot of people here recommend that regardless.

There are several other people on this forum who also tow with minivans.