Edgeways rhymes with:
airway's, airways, airways', alleyways, always, anyways, aways, broadway's, brockway's, byways, callaway's, cashways, castaways, causeways, doorways, driveways, elway's, fairways, folkways, foodways, freeways, freightways, galloways, gateway's, gateways, getaways, giveaways, hallways, hathaway's, hemingway's, highway's, highways, leaseway's, lengthways, midway's, norway's, outweighs, pathways, railway's, railways, roadways, runaways, runways, safeway's, sideways, stairways, steinway's, strangwayes, subways, superhighways, trailways, trailways', uruguay's, usairways, walkways, waterways
Edgeways sounds like:
eades, eads, eads', eats, ed's, eddie's, eddies, edds, edes, edge, edges, edgeway, edgewise, edgy, edick, edits, etc, etch, etches, etess, ethic, ethics, ethos, etsu, etudes, eudocia, eudosia, eudoxia, eutsey, eyetech, eyetech's