Looks like a fun experiment. Not sure if LST will matter with the melons since it grows as a vine, rather than upright like the MJ's. You'll get some nice little bushes with the MJ's though, they love LST. Makes em branch out all crazy-like.

As far as light cycles, I'd just start with somethign typical of an indoor grow (18 on/6 off for veg, 12/12 when you're ready to induce flowering) and see what the melons & corn do... I'm not sure how they'll respond to light cycle changes. We know the MJ will start to flower. Hopefully they're ladies

Subscribing to this one, good luck with it!