IMO you will be unhappy with that joint and driveshaft setup (if it is only flexing one ujoint), especially if you are running at 2200RPM.
Watch this video and note the speed difference in the first example, imagine that on your cutter head:
IMO, you need something that keeps both ends of the shaft parallel and lets the two ujoints cancel each other out.
Also (if you indeed plan to spin the cutter to throw chips out to the front), you will want to be careful about something to catch the chips/stones or they will be thrown through walls, windows, people, etc.
Speaking of speed, if the wheel OD at the cutters is 17.5" (14" wheel plus 1.75" of bracket), with a 2200RPM wheel speed, that's 10,000FPM at the cutters.
Looking at a random Vermeer, it is 4611FPM with a 1100RPM cutting wheel and a 25HP motor:
Vermeer SC30TX Stump Grinder - Compact Stump Cutter Design (also, note that they throw chips towards the machine)
If the 14" is the OD at the cutter, 2200RPM is 8069FPM at the cutters.
Also, that gear box is rated for 540RPM, running it at 3600RPM may not hold up (even with less than half of the rated HP)...
Aaron Z