We set our circular saw blade depth just deep enough to go through the wood but not hit the frame and cut out 90% of the floor. That left a 2-3" band along the outside - up against the c-channel where the saw couldn't get close. This was easier to deal with removing than an entire sheet...and you could get underneath to those pesky bolts and break away the remaining wood.
The biggest difference is, in a 50's trailer, if you take out all the rivets to drop the belly, you also have to remove all the rivets that attach the shell - they are one & the same. We didn't want to detach the entire shell - we didn't have room to store it.
Shari