Mark I can't believe there are no such bikes to be had out on LI - i realize it was 10-20 yrs ago, but I used to fish them out of people's trash in very good condition all the time.
Not suggesting you go dumpster diving, of course, but if you come up empty here, keep an eye out during fall cleaning (Labor day weekend?) and keep watching CL.
If coming in to Manhattan or Brooklyn is an option, check out:
http://www.recycleabicycle.org/shops
I think they charge more than, say, a garage sale would for old bikes, but they should be ready to roll and safe to ride (well - as safe as those old 10 speeds
can be to ride!). If you'd rather save him $ and do the work yourself, they might have a frame they'll sell you....can't hurt to ask.