Look at Carnival by Michael Stewart and Bob Merrill. You will need one dynamite soprano. The rest of the roles need singers, but not the exceptional one that the lead role of Lili requires.
I saw a production a few seasons back at Paper Mill that was done on a basically bare stage with only the props called for in the script. Costumes could either be pulled from stock or done by suggestion with a few specific costumes built. You probably have all the lighting instruments you need.
You will need a person to build puppets and your leading man will need to learn to operate them and be able to give each a voice and personality.
One character will need to learn some simple magic tricks.
There is one song traditionally sung as one character is put into a box as swords are then put through the box by her boyfriend. Yes, it is a love song, but a very funny show-stopper.
The CD may be out of print but the score is quite sweet so it would behoove you to find it for your collection. The script can be read on loan from Tams-Witmark. It is based on the film "Lili".
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher