Redesigning rhymes with:
designing, designing, resigning, designing, resigning, affining, aligning, assigning, breining, brining, combining, confining, declining, defining, designing, dining, divining, fining, lining, mining, opining, pining, realigning, reassigning, reclining, redefining, refining, resigning, shining, signing, twining, vanhyning, vining, whining, wining
Redesigning sounds like:
rattigan's, redskins, redskins', reducing, retaking, reticence, retouching, rewatching, rudzinski