I have thought about the crossovers for a long time. I am actually working with the school to get beetle weight combat robots as a non FRC robotics activity at the school. This could be interesting for kids to get more hands on time with robots and engage some of the kids (and parents) who do not respond as well to the FRC type bots.
Another somewhat related thing I am getting started in the school is Power Racing Series cars. the basics of it are, you get $500 and 1440 Watts to make a power wheels car faster, then race it around a track with other maniacs...I mean enthusiasts. Here is the trailer for the 2016 season.
https://vimeo.com/153205338 and the series web page
http://www.powerracingseries.org/