Would something as shown in this post help?
/g/tinysa/message/37The scan speed in zero span can be set but the upper bandwidth of AM demodulation is about 1kHz (maybe 2kHz)?
After measuring the scan can be paused and later the tinySA can be connected to a computer to grab the screen
I do not yet foresee saving scans to flash as I'm not sure how many flash writes can be endured