The new background designs in the UI 2.0 Beta are great! I like them all and I don't know which one to choose!
Please add an option for VRC+ users called 'Random'. With this option selected, the VRChat client would randomly select one of the VRC+ background designs on application launch and continue using that design for the remainder of that application session. (The four non-VRC+ options should be excluded from the random selection.)
Alternatively, if you're OK with adding a little more complexity, then introduce the random option as a toggle. When toggled on, all the radio buttons next to each of the background designs would change into check-boxes (with a default state of having all of them selected). This would allow the user to choose a subset of the background designs to be randomly selected from.