I am a RV owner and have been for 20 years, also a BX 2200, B 3200 and a Kioti 45 hst owner. I have Woods loader and Backhoe on my Kioti and have abused them from new in 2006 never have been a problem plus out specked OEM stuff. I looked very hard at putting backhoe on BX at one time. Many happy owners with a BX/Woods backhoe combination. I would only consider a sub frame mounted backhoe not a 3 point. Your tractor is of a age where great deals are available with sub frames on E bay and other sites. I believe a sub frame will work with belly mower, call woods and ask them. I think it will.
From a RV owners perspective. I would keep what you have. Backhoes are controlled by hydraulic pump output. Not much difference between what you have and BX 25. Reason I went with B 3200 and not sure it was a smart move from BX 2200.