I'll do it here at home if you want, free of charge. Cost is not an issue - willingness to do the work is..

Up to a point. If all you have is a vinyl record that plays for 45 mins, its going to take 45 minutes to record it. So one person could do at best about 10 records a day (per turntable & PC). The problems of recording from cylinders are worse. So yes, with enough volunteers, equipment and the willingness to risk sending the material offsite it could be done at low cost. Otherwise, you are talking LOTS of time.