How to reduce noise in strain gauge measurements
One approach (I saw this used in a nuclear-testing setup) is to drive the strain gauge bridge with 20,000Hz sin (something much faster than the generator risetimes, so the correlation is very small), then use narrow-band amplifiers to boost the 20,000Hz, then perform a synchronous-demodulation.

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The nuclear testing channel used 5,000,000 Hz drive to the bridge, so the response could be proportionally faster. From what I've read over the decades, such a test generates the energy in "2 shakes of a lamb's tail" or 20 nanoseconds. After that, its all about the energy going wherever the energy wants to go.