He went to 5,000 ft per the Airspeed Unreliable Checklist (table below). The Alt Disagree Checklist is quick. (Looking at the 737NG-800 QRH) Fly pitch and power as per the QRH. Next figure out why the trim is being stupid and that dumb wheel keeps spinning the wrong way. Keep the wheel in the GREEN if you have to hold the D%#@ thing.
