"We've even discussed forming a summer league with several local travel teams, which could be interesting. "
I love this idea! Twi-light double headers and three games on Sunday. Four week season. Playoffs and championships on the 5th weekend. Do it again if need be.
I would so much more prefer a few double-headers throughout the week than a crazy "wake up at 5:30, get home at midnight" tournament on Saturday.
Healthier for many reasons.