It would be hard to do a history of maps without illustating different projections and the Peters, for all its problems, shold be shown. Keep begging is all I can suggest, but the situation does not look unpromising.
When I was compiling AN ATLAS OF FANTASY, some publishers were rather generous because Mirage Press was obscure and, as one noted, it was a labor of love and not all that promising commercially. When the reprint by Ballantine Books, owned at that time by RCA, was in the works, the same publishers demanded much more money. My answer was to not include the maps, a solution you can't use.
It would probably do no good for the map field to write to the rights holder and say "Shame,Shame."
J. B. Post