The LVC boards should be all you need and a good position of the batteries so if heaven forbid, murphy takes his toll on the pack, you have a nice metal shield around the packs that would vent things away from harming the rider.
I can't imagine why if this is well supervised that it couldn't be just the same as a kid going around a track with a gas powered kart.
Another trick that many here use is to have an extra high LVC and only charge to 4.1V per cell, that way you have some wiggle room while charging, and keeps you from having to balance as often since as long as the packs aren't far outta whack (more than about 0.1 V of difference) you stay well away from too high, and set the LVC to 3.65 per cell (since you're not commuting, why not? the packs will last longer, and since you have a nice quick charger, shouldn't be much of an issue for ya) and by this I mean something along the lines of the LVC on your controller, and if you have something like a Cycle Analyst, you can have it set for more like a LVC of 3.0 - 3.5 if you want to run things harder when you are riding, and just make sure you re-program the CA for a higher LVC when the kids take a turn.
As you are already experienced with LiPo, I'm sure you already know, but you get what you pay for, cheap LiPo doesn't work as well, doesn't last as long, so get something at least middle road, and high C rate (I like the Turnigy Nano Techs with 25 - 50C because I never use half the C rate, so they aren't really even getting warm in heavy use) and I am going to be doing the same, I currently run 12S, going to try 14S and see if my gearing still agrees with my pedal cadence as well as it does now.
Good luck, and be sure and take pics of the build for us!
I would also recommend you talk to the guys here who sell controllers, Methods, Lyen, and Stevo I think are all here who sell programmable controllers, not familiar with your motor, but I know with the 12 FET that Lyen sells for $140 - $150 shipped with USB cord for program in everything including phase currents and motor timing down to LVC & HVC, I'm not very electronically handy, but it was pretty simple to learn and can handle around 3000 Watts, with a cap of about 60 amps IIRC and around 3000 Watts out-put, so if that is what you are needing, it's a very reasonable price.
He also sells a pretty tough 24 FET like the one that the recent winner PaulD used in the Grange Motorized Bicycle race used at around 50-60V and 100A to hit speeds of just under 50 MPH IIRC, but that one is closer to $350 - $400.
Lots of different controllers available, I have only used Lyen's programmable ones so far, and I am very pleased with them, just ordered 2 more.