They'd probably give you a billion penalty laps (merely to discourage anyone from trying it with a car that might actually finish), but as long as each chassis went through tech and no more than one of them was on track at any given time... what could possibly go wrong?
Seriously... better run this notion past Jay before taking it too seriously.
One technicality that would be easy to overlook: You'd have to move your transponder onto whichever car is going out.
I think you'd do better to prep two of the cars, enter two teams, and bring the third car complete as a parts car. Fully preparing 3 cars to race and only racing one team would be painful... you could almost run a pro race on that kind of budget!
Lemons South 2008 - Fail, Lemons South Spring 2009 - Fail, Lemons Detroit(ish) 2008 - Fail, Lemons South Fall 2009 - Fail, Lamest Day 2009 - Fail, Miami 2010 (Chump) - 2nd!, Sebring 2010 (Chump) - Fail, Cuba 2010 - Crew Chief, Roebling 2011 (Chump) - 8th!, Sebring 2011(Chump) - 19th!