Thanks for the advice.
The house is 15 years old, no idea who the original siding contractor was but I'm sure it's no longer under warranty.
Thanks Snoonyb for the ideas on covering the OSB. I'll reach out to the contractor who quoted us and ask if he'll put a tarp over it.
We had a big windstorm last weekend that knocked about a quarter of the vinyl siding off one side of our house: http://imgur.com/vzWkDSJ
I must have called ten contractors, but only one has come out so far to even give us a quote. Rain is coming. Should we risk climbing up with some plastic...