Congratulations on your new Trapper!
Scoping leverguns makes them less "handy", because it affects their balance. Light weight close to the center of gravity has the least effect on balance: you want a straight-tube, short, light, and low-powered scope that you can mount very low. You do not want a big, heavy, high-magnification "moon scope" in see-thru rings.
As far as mounting goes, the lower the better. There's nothing wrong with the time-tested and proven Weaver bases and rings, except they aren't "pretty". They are lighter than many other choices, and that's important (see above).
Something like the Leupold VX-1 1-4x20 Hog scope or Shotgun/Muzzleloader scope would be ideal. They are basically the same scope with different reticles. Both run about $225.
If you need to go cheaper, the Weaver 1-3x20 is about $175.
I have both the Leupold and Weaver on one or another levergun, and they work well.