Tuning some of the strings in 4ths and not others would drive me crazy.
I personally might go DGCFBb, gives me some notes both below and above standard tuning.
Depends on what you need more though, if you need notes below D you'll probably want to keep the B string.
Go ahead and try it but the patterns are going to be way different.
P&W Bassists #795; Oregon Bassists #29