If it's just a matter of a clear coat, consider getting an automotive paint shop to squirt it for you. Show them the finished model, explain what's underneath, get a price. They'll be all set up to do it, and may even be able to do it as part of another job.
Prices will vary wildly by how cool they think the project is -- I wouldn't be surprised at anything from a flat "no" to "wow that's cool I'll do it for free".
I'd make sure to take it to a good paint shop, though -- some cheap guys know how to do good work, but lots of them just know how to squirt paint. You don't want to get it back with runs, bugs, dust and scratches in or underneath the clear coat.
My understanding of Sig Lite Coat is that it holds up to 15% nitro, and the longer you give it to set the better it does. I have a recently-resurrected plane with a 10 year old lite-coat finish that stands up to 20%. The advise that I've seen is to let it cure for a couple of weeks.