What we need for airspeed measurement is a diversity of methods. Even if new technology is less robust than the pitot concept for measuring, you will be less likely to get common mode failure which is the real Achilles heel for the pitot tube systems.
Turbine D indicated that you can also get data from the engines that will be useful to infer airspeed. (The engines need to know their operating dynamic pressure too).
Since the engines have fans at the front end that may sling ice and in any case will have a different environment than a naked pitot tube, this may provide part of that airspeed diversity.
The laser airspeed systems seem to be on the verge of availability for operational use. Someone just needs to decide to build a design using them. Then we will have at least 3 levels of diversity.
Having one pitot running hot may also provide some diversity, but this may have some problems with pressurization of the system through vaporization of moisture.
These approaches all take engineering study and imagination in implementation.