Those old prints you'd like to dispose of could be more valuable than your oils.
Prints by Johns, Motherwell, and Close can bring well in excess of $100,000. according to Art and Antiques Magazine who quoted Mary Bartow of Sothebys.
Look out for linocuts, lithographs and engravings, but only buy from reliable sources, and get everything they claim, in writing, including provenance, if possible.