Guys what showcases are important to you!? Go to that showcases web site and see if your team is on their list. If not, at the very least question it!
I also don't think you need to do 3 fall tourneys, keep it at 2 team showcases and train, train, train; maybe hit up a few (2) select school "invites" sessions.
I hope some of the directors realize you can get some great friendly's going.
Btw - the team with the biggest shift this upcoming season probably isn't even known to the masses yet. So relax and let the chips fall where they may.