Good stuff above, the only thing I might add is your tractor could easily turn an 8' rotary cutter, so it's possible you are over powering the 6' mower...but by all means, go with what you have!
As others have mentioned, break your slip clutch free. *IF* that is set correctly and working as designed, the grade 2 sheer bolt is redundant and the weakest link. Sounds like it is breaking before the slip clutch gets a chance to...slip.
As Mr. Lineman mentioned, you can safely increase the bolt grade (hardness) and rely on the slip clutch...if you have it dialed in.
You might need to go easy with the mower, meaning low RPMs when you engage the PTO, then increase to 540 RPMs, and limit the size of saplings and brush you attack until you've confirmed the slip clutch operation.
Cutting brier canes should not be a problem...