Rummaged rhymes with:
acknowledged, advantaged, disadvantaged, disparaged, encouraged, envisaged, hemorrhaged, leveraged, micromanaged, mismanaged, mortgaged, overleveraged, packaged, pillaged, presaged, ravaged, repackaged, salvaged, savaged, underpriviledged, unleveraged, unmanaged
Rummaged sounds like:
raincoat, rainiest, ramstad, rancid, rancidity, ranged, ranked, ransacked, rearranged, reenact, reenacted, rehnquist, reinstate, reinstated, reinstitute, reinstituted, reminisced, renegade, reneged, renegotiate, renegotiated, renounced, renquist, renunciate, renuzit, ringed, ringgit, ringquist, ringside, ringstad, ringuette, ringwood, ronstadt, runquist