I like the idea. If it turns out as well as your team house dio it'll be a good one.
The idea also has merit. We go through a procedure called MDMP, or Military Decision Making Process. It's supposed to be done at battalion level and above, but ODA's have done it themselves since I've been in. Basically team members come up with course of action (COA's) and then choose one based upon certain criteria they've chosen. They put it through a matrix, weigh each criterion, and make a decision based upon the results.
Here's an example:

Back in the day it was done on butcher block paper. These days usually on a white board, although butcher block still works fine.
However you portray it, instead of COA 1, etc., you could write them out: 1 Laser from Space, 2 Direct Action, Ground, and 3, Direct Action, HELO, or something similar. You get the idea. And yes, laser from space was suggested once in the brainstorming session. It may lead to other ideas like lasing the target. Rule #1 for SF - respect every idea regardless of rank.