If you use an offset snare stand, make sure to have the offset away from you and then tilt the drum toward you, putting the center of gravity back over the base. I would also recommend against a friction style tilter (ball and socket or Tama's quick set) and go with one that has teeth. Also, if you have the floor space, you can replace the smaller base (tripod leg portion) with a wider one from a cymbal or tom stand for added stability. You may have to modify it's height, but that isn't terribly difficult if you're handy with tools.
While a RIMS style system would solve the issue with all the weight on the reso hoop, it will also put your COG pretty far off center possibly making it unstable.
If the weight on the reso hoop altering the tuning while on a snare stand is indeed an issue, you would need to remove the inner springs from your bottom lug casings and replace with something solid and then put a lock nut (like Ludwig's tuning lock nuts) and tension them against the hoop to prevent the hoop from moving once tuned properly.
I personally wouldn't use it because of the "gearless tensioning" on the tilter. I don't know how they are doing it now, but I had an older (plastic/rubber internal) version of the Tama quick set and it would slowly tilt when the temps crept up. I wouldn't trust anything with substantial weight to a toothless (gearless) tilter.
Also, while I prefer not having much of an offset (actually none at all) on my snare stand, in this case it might be beneficial for your COG as I pointed out above.
How heavy is this thing?