IMO, nothing
makes work out of all other attachments like adding a backhoe to a 3ph-equipped tractor that also wants to use tiller, post-hole digger, brush mower, etc. It make s a great counterweight for FEL work, but when you're not digging ...
There won't be a lot of switching w/o leaving the seat as so many wish was std equip.

Easy for me to say, as I have dedicated machines, at least a small backhoe that has buried a horse. What I mean is: you can go 'Swiss Army' on any tool, but you have to lug around plenty more gear than any one task requires.
It might 'take two' to mount/dismount the BH, and you'll want to store it in a secure (leeward) place when not in use, more to think about than original cost, esp if buying 'new' to fit you model.
I have a 'stump bucket' that would dig 'some' with one of the '38s mentioned, IMO a better vehicle for such than my Kubota-like 'light duty' NH/Shibaura. (35hp, ~3k lbs
with FEL) Modern tractors and accessories are more versatile than the old 'basics'.
I'd agree with OP's tractor choices but suggest you call me, or someone closer to you, when you have to bury an animal.

I'd bet you could barter for that with some brush-hogging or tilling ... with attachments you'd switch to and use much more often than a backhoe. just my 50 cents. t o g
(Remember those on/off-road motor bikes that were half-a__ed performers in both places? ... and who uses a Kirby vacuum to buff their shoes or shampoo furniture??)