Holy crap you are crazy. I rented a bike in Chiang Mai. That was kinda nice actually. But Bangkok... no way.
The scary thing about Bangkok is everyone goes fast. It's not like other SE Asian cities in Vietnam, Cambodia, etc where theres tons of crazy motorbiking, but at least they are slow.
I crammed onto a Tuk Tuk with 6 other Dutch, German, and French tourists, and had the misfortune of pretty much hanging out of the back. We were about 3 inches from getting rear ended on that ride, a taxi behind us locked up it's brakes and screeched to a stop. Probably messing with us.
Are you on one of those crusty trains that runs from Chiang Mai to Bangkok in like 15 hours? Man that ride was rough... probably because I overdid it on the Thai 'whiskey'. I think the bus ride from Bangkok to ****et was worse though.