Well, I guess there has to be at least one person to speak up for using a backhoe just so you don't get the idea everyone is against it. I did essentially what you are planning to do and it worked out just fine. We were putting up our shop building in 2005 which required clearing something like 100trees of similar size to what you describe, of mixed pine and hardwood. I've attached some pics taken at the time.
We chose to add the backhoe to our tractor because we couldn't afford a separate mini-ex and we also knew this was only one of many projects requiring excavation, so the backhoe made lots more financial sense than repeated rentals or hiring someone to do the work.
The tractor is a Kubota L4610 with a Kubota 4560 backhoe. It handled the job without any problems. I won't kid you... it takes some time to take out a large stump... I define large as anything where the stump and rootball can't be lifted out of the crater once it's loose. The last photo shows one like that, which required digging a ramp and pushing it out. Smaller stumps take less time.
So it can be done. Whether that's the best choice for your situation or for anyone else's is beyond my pay grade, as they say.
Words of advice if you decide to go in this direction:
Get enough tractor and backhoe for the task.
Do it when the weather is cooperating, if possible.
Have time available when you can work at it.
I wouldn't disagree with any of the other comments about mini-excavators, excavators or contracting such work to others... all are probably quicker and less work. I would add to the list buying a used full-size TLB for the grubbing work, then selling it. Depending on circumstances, any of these routes might be cheaper than the backhoe, but not in every instance. But doing it with a backhoe is possible, can save money, and can be a useful hands-on experience under the right conditions.