My plan would be to avoid that kind of icing if at all possible. If unavoidable then I doubt that the small increase in TAT through a higher airspeed would make any significant difference to your airframe icing and would bring with it the downside of possible flying outside your turbulence or normal manouvering speeds. If wing and engine anti-ice are insufficient to deal with the problem then you must really ask what you are doing there and consider going elsewhere. If your pitot tubes are all iced up (and that serious icing on 3 heated pitots) then you fly whatever your QRH says you fly for unreliable airspeed indications.