What do you feel that you should do? There isn't a really simple answer. You should ask yourself why?
Personally, I pray of pretty much anything, asking God what He wants me to do.
I have no attachments to material items anymore. I know that somehow I will be able to have a roof over my head, food on the table so beyond that, I know it isn't important.
I did give my W one of our TVs when she moved out. I consider any of our stuff, even now, ours. If she wants something and I dont need it, she can have it. With her personality, though, she is unlikely to ask for anything.
As far as when your W goes into BEAST mode, could she be looking to get a reaction from you? If she is, I wouldn't play into those games. Does it really matter anyway? What is most important to you?