I would remove the crib or at least put a "twin" mattress on the floor. Kids are smarter than we think. Give her the "choice" of where to sleep. If/when she climbs out, offer her the mattress on the floor. Put a baby gate with a step on the outside of it on the door, so she doesn't get out. This worked well for our second daughter who also when through something similar.
We had her nap in the "big girl bed" to start the transition. Also it wasn't a smooth transition (she wanted the crib back), my DH wasn't comfortable with the risks. Of course, the bedroom was CLEARED of most everything she could chew on, a child handle lock was put on the closet door, blinds were pulled up and string secured high, etc.
I think some kids are just climbers. As a parent, you need to do your best to keep her safe. BTW - I've seen this question posted before, so check the prior posts. I've read some other parents who used the crib tents and loved them. We didn't want to invest in one nor prolong the crib use since she'd be moving to a "big girl bed" within a year or so anyway. I respect other people's decisions. For us, we don't usually buy lots of those types of items for our kids...we're basics kind of people.
Also, our pediatrician agreed with our decision to just move on to the floor. Our daughter stayed on the floor mattress for about a year, then was "awarded" a frame when we knew she would behave (no jumping off the bed), however we did already have the bed rail to prevent rolling off the bed (from our other child who kept rolling off since she was in a big girl bed at 22 mos).
Best of luck - I know this is a hard transition time.