Fast assembly is always the holy grail of trailable boats. But I'm not sure your design is going to be quick to assemble. Mentally time out every move - being generous - 4 bolts to fit at 15secs each, 2 masts to step (say 1 minute each), 2 sails to hoist (1 minute each), 2 mainsheets/kicking straps to fit (30secs each). 2 daggerboard/foils to fit (30secs each). That's at least 7 minutes. Plus add for unstrapping two masts/booms and hull, and quite a bit of walking round the boat.
I once was sailing a Laser in 8 minutes from it being on the car roof - I was late for the start of a race. So two similar, but bigger, rigs will presumably take at least twice that.
Will you be able to sail on/off a beach with an onshore wind?
My attempts at the trailable boat daysailer are the Strike trimaran series. I felt the trimaran's deep "sit-in" hull made a better daysailer than the "sit-on" cruising beach cat (assuming no sleeping on board and no trapezes)
And as Corley says, the foils might work at speed, but you have to reach that take off speed first, which might be challenging in light winds - common on most lakes. Foilers have huge drag when not foiling.
Here are a couple of videos of my Strike 18 assembly
We once sailed back to the beach and 13 minutes later we drove away with the boat strapped down.
http://www.youtube.com/watch?v=fi49pEQk3gI
Raising the mast the easy way
http://www.youtube.com/watch?v=1OjzcWl0h6k
You can see more videos on my Woods Designs youtube channel and of course on my website.
Richard Woods of Woods Designs
www.sailingcatamarans.com