Will this work?
In ImageIntegration, enable "Clip low range" and set "Range low" to 0. (These are defaults).
Then zero out the bad pixels in each of the problem frames. The zeros will be rejected.
There are several ways to zero pixels. Eg box the problem: eg (x, y) of (200, 600) to (300, 700) and apply pixelmath "iif(x() > 200 && x() < 300 && y() > 600 && y() < 700, 0, $target)"
If loss of SNR is a problem, selectively denoise using a mask during post processing.