I would use your jetson along with python and opencv. You could get the bulk of it done in a couple days, even if you don't much about it. Make sure you turn off auto white balance on the camera, and set the exposure low to avoid washed out images. Superbrightleds.com sells some appropriate 12v green led ring lights.
The actual details of the implementation can be pretty much taken right from this ball tracking tutorial. It does most all of the same things you'll want to do.
http://www.pyimagesearch.com/2015/09...g-with-opencv/
HSV convert, threshold on bright green, maybe a dilate or two, find contours, pick the largest contour, find bounding box, find offset from the center of the bounding box to some aim point, send offset to roborio for aiming correction. UDP sockets preferred, or network tables if you have to.
Using the above tutorial and OpenCV documentation, I had something which could track the tape in about a day. That is coming from somebody with no python or opencv background too.