Looks like DPS is a pretty efficient routing from CNS or DRW to DOH, and indeed that DRW works for a routing CNS-DOH too:
http://www.gcmap.com/mapui?P=CNS-DRW-DPS-DOH,+CNS-DPS-DOH,+CNS-DRW-DOH,+CNS-DOH
And DPS is already a port with a significant volume of QR metal; it looks like there are two...