I didn't think ONE MAN TWO GUVNORS was as funny as everyone else seems to think it is. I certainly laughed more during THE BOOK OF MORMON, XANADU, SPAMALOT, THE PRODUCERS, and THE LIEUTENANT OF INISHMORE (yes, I know I'm comparing to mostly musicals). I laughed a lot, yes, but I don't see what's so special about ONE MAN, TWO GUVNORS.
I'd choose either OTHER DESERT CITIES or PETER AND THE STARCATCHER. Choose ODC if you want a drama and choose STARCATCHER if you want a comedy. I'd go for STARCATCHER, as it's more of a unique show that's special for a combustion of reasons.
"The Spectacle has, indeed, an emotional attraction of its own, but, of all the parts, it is the least artistic, and connected least with the art of poetry. For the power of Tragedy, we may be sure, is felt even apart from representation and actors. Besides, the production of spectacular effects depends more on the art of the stage machinist than on that of the poet."
--Aristotle