Pressure/barometric sensor for coke can stirling engine
I would use one of the Freescale sensors MPXV7002
http://uk.farnell.com/freescale-semiconductor/mpxv7002dp/sensor-pressure-dual-diff-0-02bar/dp/2080499

It says the response is 1.0 ms

However as @Nick Alexeev says... you need to know the expected pressure because I think you will break this one. On the plus side they do offer sensors for different ranges.