First of all...Hi!

Welcome to the board. Sorry it took me so long to respond.
On to your post......
I'm so sorry you and your family are going through this. I've never been through forclosure. I can't imagine how difficult it must be for you.
A couple of years ago we had a flood and were temporarily displaced. We were going through a major family transition at around the same time and the tight quarters really made things difficult to say the least. My three oldest shared a very small bedroom and my youngest was in a room with dh and me.
What we did to try and ease some of the tension was just to stay busy and out doing things as much as possible. The more fresh air and activity the girls got, the more relaxed we all were at "home". We found lots of things to do that didn't cost any money.
Between the room dividers and the bed tent....I'd go with the bed tent idea. The room dividers will likely take up valuable floor space, making the room feel more confined.
Other possibilities....
Do you have a dining area that you could convert into an extra bedroom? I'd hate to give up the family dinner table but I think in this case, the living room couch or floor would do just fine at least temorarily.
How old are your boys? Would it be possible for one of them to sleep in your bedroom? (I know this isn't ideal but it worked for us.)
Sorry I can't be of more help. I'll be praying for you.