Hi Sharpie!
I don't suggest trying anything without a somewhat experienced beekeeper around. To find one, you might be better off stopping by somewhere that has beehives or sells honey if you can find one. From my experience, most non-internet beeks are old men who love to talk and help.
First, if you want to try, start out by reading some of these, and perhaps some time one beemaster.com and beesource.com.
http://forum.beemaster.com/index.php?topic=8938.msg56811#msg56811
http://forum.beemaster.com/index.php?topic=8749.msg55363#msg55363
To trap, you need an existing hive. You wouldn't want to do this or a cutout without some experienced help.
To build a hive, first look at the plans here:
http://beesource.com/plans/index.htm the 10 frame hive and the Dadant Style Frames are most common.
When they swarm, which they most likely have done every year that they've been there, they take the queen and leave. They go wherever they find a suitable home. In theory and often they will go to a swarm trap, but not gaurunteed. Probably they will leave altogather never to be seen again. The trap will not get the bees out.
Your theory could work, kace, but the catch is that they will be reluctant to leave any brood that they have, and will stay on the comb even though exposed. If you were to brush them all off the comb, take the exposed comb and brood away and left the hive there, then they would. If you could catch the swarm....
But right after a swarm (sometime late may, early june) would be the best time to deal with them regardless...the bee population is lowest and least aggressive.
Rick