For the course (props to you for taking a course!), get what most everyone else is using. A mirrored, sighting compass is classic, versatile, and with care, any quality compass lasts forever, so I'm teaching my kids on the compasses I myself learned on, 40 years ago.
BUT, for UL BPing on the PCT, I'd bring on a little button compass, something on a zipper-pull, or nothing at all. 90% of the time, I can tell north to 10-15 degrees from the sun, stars, and terrain, and in the remaining cloudy times, there's this well-traveled north-south trail to go by.
For BPing with a little off trail, I'd go for the smallest, lightest mirrored compass in part because the mirror is useful for some self-assessment and first aid at times. Something like: http://www.thecompassstore.com/guideorange.html
For geocaching, cave surveying, relocating a fishing hole or butchered carcass, etc; I go with the most accurate small compass I've found, the $160, 108 gram Suunto KB-14 optical sighting compass:
Not cheap, but I can read it, quickly and accurately, to 1/2 degree. The Suunto style is more accurate, lighter and a quarter the price of the $600 Brunton Pocket Transit that EVERY geologist I've ever worked with got for their summer field camp and now proudly owns the worlds most expensive shaving mirror.
Or in plastic by Suunto at $80, 39 grams.
Or a Harbin knock of the aluminum Suunto at $64.
I've never tried the optical Deruite at $38.50. I might get one to play with since I'm planning some scouting skills lessons with the kids (plus friends' kids) this summer.