When you talk to her, keep it strictly business. Don't share any feelings. I'm sure you're right that she wants her name off the lease, and if you can't afford the place yourself then start making plans to move. I know it hurts but you've got to prepare yourself because things aren't going to turn around soon enough for you to count on her moving back in there.
My suggestion on the furniture is keep what you would keep if you move to a smaller place and return the rest. If you don't like the idea of looking at empty rooms then close a door or two and don't go in there. That's what I did when XW moved out and the kids were with her, I just closed their doors so I didn't see those empty reminders. It's a small thing but it does help.
Hang in there! You'll be fine, but unfortunately you've got to go through some pain first. You can do this.
EDIT- also go ahead and set up the furniture you plan on keeping. The sooner you make that place your own then the sooner you'll start to feel better about your situation. That was a great idea on buying some stuff and making it what YOU want. Definitely proceed with that. It's nice being able to set something up to your personal tastes without worrying about what someone else thinks!