Depends on how big those tree stumps are and how hard your ground is. Generally speaking, I disagree that a "farm hoe" has to be big. My dairy farmer neighbor bought a 1964 Ford 4000 Industrial with a 724 loader and 723 hoe on it . . back in 1968. Not a big machine. He did amazing things with it over the years but he also knew how to make best use of it. He used it pull out stuck farm tractors, dug many ditches, tree stumps, and put in many septic systems with it. He bought it in 1967 and when he retired in 1995 - I bought it. I left it at a another property I own and have dug a foundation (for a new house) and a septic with it. Still going strong and parts are very easy to find.
Here at my main place I've got a Deere 300B backhoe loader and love it. Weighs 10,600 lbs., good on fuel and gets great traction. Small enough to get into tight places and big enough to do a lot of work. Our ground is all hard-pan and shale and I have no problem digging 5 foot deep trenches. Also done several septic systems with it. I paid $3300 for it at auction a few years ago and had to sink another $1000 in parts to get it in great shape.. I also have a huge Pettibone loader-hoe. Detroit diesel, air/hydraulic brakes and it weighs 18,000 lbs. Good for really big work but otherwise clumsy, gets lousy traction, and I cannot trailer it (too heavy). Also too slow to drive down the highway anywhere far.
Everything has its pros and cons. That goes for big versus little, and wheeled versus tracked.
I've also got a Case 580CK wheel hoe, along with an IH 3414 wheel-hoe and an Allis Chalmers HD4 track-hoe. Out of them all I prefer the Deere 300B. Easiest on fuel, easiest to run and easiest to trailer (except my Ford 4000). I don't like the pedal swing or the torque-converter drive on my Case.
Many of the dairy farmers in my area have Case 580 hoes or Ford 545s (or similar).
Whatever you choose - I suspect you can find a pretty good 35-40 horse 10-12,000 lbs. wheel hoe in pretty good shape for $5000-$6000 is you be patient and look around. In my area, the bigger hoes tend to sell for less $$ then the smaller ones.
That's just my opinion. Only you know what you really need and/or want.