I would think the electronic compasses to be pretty poor for working with maps. If just sighting bearings taken off a GPS, they'd probably work OK. Of course, there is the risk of battery loss, but hey, who doesn't carry extra batteries these days. You could always bring a small simple magnetic compass as well - just as a backup.
Did your navigation course use a GPS? Many don't, and I think that is too bad. GPS's are here to stay and darn reliable. People need to know navigation both with and without a GPS.
Also remember to have a UTM grid with you whether on the compass or using one like those sold at
http://www.maptools.com/ (nice UTM grid tools). Don't forget to pre-draw the UTM grids on your map. Unless you're determining your current location from visual landmark references, the best way to determine your current postion is to take UTM coordinates off of a GPS, and then use the UTM grid tool to locate the positon on your map.
Take a look at the Brunton Eclipse series of compasses. They all have a built-in magnifying glass over the reading area and the circle-over-circle aligment method (thus the "eclipse" name) is VERY easy on the eyes. I have the 8096 GPS and the 8099 and like them both.
Some compass have glow-in-the-dark markers for night use, but I've never had much luck with them. Mostly because the compasses are packed away and don't get a chance to "charge" them up in the daylight hours. Even when charged, the markers never glow for very long.
My advice would be to wear an LED headlamp, which would help ensure that the electronics are far enough from the compass to prevent interference.
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Eclipse 8096 GPS - $30 - Baseplate compass with adjustable declination and built-in UTM grids & map scales. Kind of big, but feels real nice in my hand.
Eclipse 8097 - $35 - Baseplate compass with adjustable declination that comes with a lanyard that has a whistle and also has a pretty nice pocket clip.
Eclipse 8099 - $75 - Fancy compass with mirror sighting, several clinometers, UTM grids, and survival cards. I also have a Silva Ranger (actually the original one sold in the U.S. as the Brunton 15TDCL but built by Silva Europe). I like the Ranger's simplicity, but find the Eclipse 8099 easier and more accurate to use for sighting bearings from the GPS. The 8099 gets mixed press, but I like mine.