What you describe is similar to how I installed my floor.
It is tough to wrap the CSM if you don't bevel the edges at all. But it doesn't need to be much, and you don't want to bevel it too significantly as it reduces the contact your floor has with the stringer. Some people have just fiberglassed up to the top edge and then come back with a strip on the top of the stringer. I'd suggest testing a piece of your stringer material before getting it in the boat and establish a process for getting it wrapped in glass that suits you.