That fan is well protected on new BX models.
I have a BX but no back-hoe. I see no use for a dinky back-hoe in the woods.
Rent a back-hoe if you ever need one. BX is a handy machine, but small. If I was pulling logs, handling cord wood, etc. in rough areas, I would not use it there. Low ground clearance, limited bucket lift height, crummy control on three point, etc. I say this because I have used somewhat larger blue machines in the woods of Wisconsin and even then, sometimes it was a lot for them. The BX is fine for my use on a city lot doing light work, but not logging or fire wood work. You won't regret going larger.
Instead think about a low hours larger used tractor at same or less investment with better ability to do the rough work out there.