You could confirm auDNA matches to already proven Mayflower descendents, noting your MRCA's and cM counts. Such a match list may be good evidence, but unlikely sufficient to provide unequivocal proof of your own, direct ancestry
For males, a patrilineal Y DNA match at 67 STRs or more should provide the strongest evidence. For females and males, a mtDNA full sequence would be the next strongest.
I guess it would potentially be possible to unequivocally confirm an auDNA match to paternal or maternal-ine MRCA's of a Y DNA or mtDNA confirmed Mayflower descendant. Still a weak inference of direct ancestry, but lacking the mt or Y DNA, may be the strongest possible.