Here's some information on the quilts made during the 30's. Perhaps they will give you some ideas.
http://www.historyofquilts.com/publications.html
This next one is part of a series of articles on the history of quilting by Judy Anne Breneman (the series starts here
http://www.womenfolk.com/quilting_history/pieced.htm) The Depression era quilts are here:
http://www.womenfolk.com/quilting_hi...ressionera.htm[url]
The best known patterns from that time are Dresden Plate, Grandmother's Flower Garden, Sunbonnet Sue, and Double Wedding Ring. Dresden Plate and GFG would be especially suitable for a period scrappy look.