RSP1A has an on-board FPGA (
https://afedri-sdr.com/images/AFEDRI_SDR-Net_Block_diagram_rev.4.1_800px.jpg ) to create the VRXes. I have looked at KiwiSDR ( which is a device commonly used for web SDRs ) and it also uses a FPGA to capture just the data of interest, mostly to reduce the data handling needs of the down-stream devices. KiwiSDR's general purpose CPU is a 1GHz single core 32b ARM chip, almost all the 'heavy lifting' is done in the FPGA on the daughter card. It's a very cool device, but it is really designed around that single task, capturing receive streams and presenting the resulting spectrograph/waterfall along with demodulated audio inside a web browser. Therefore it's not as general-purpose as you need, in particular it does not export IQ streams at all.
The closest approach I know of to do what you want is to use a Hermes-Lite 2 device (
https://github.com/softerhardware/Hermes-Lite2/wiki ) which by default supports four receiver slices with up to 384 kHz per slice. This device is a part of the same family tree as the rest of the openhpsdr stuff. Then, the gnuradio support for it (
https://github.com/softerhardware/Hermes-Lite2/wiki/Software ) will let you make a simple flow to tune each of the four receiver slices and send the IQ samples to a file of your choosing. It's not a perfect fit for your needs, but it's the closest fit to your needs that I know of using off-the-shelf stuff.
For instance, here's a little flowgraph that took four 48k slices and displayed the resulting spectra:

I was using 48k since I was using a RPi CPU and it didn't really have the horsepower to do more work. A modestly powered laptop or desktop would have been a better choice.
As they say, some assembly is required. I have used this stuff and it worked for me, your results may vary. In particular you must use the gnuradio 3.8 stream since the HL2 support hasn't been adapted to the new 3.9 and later pybind tools. Also the HL2 devices are only built in batches and right now they are in between batches, and the next batch will either be delayed or see a price increase due to chip shortages, so you either need to wait to buy one or find a used device if you choose to go down this path. Look at the wiki link above and subscribe to the email list if you want to follow developments in this space.
Feel free to ping me here or via direct email with any questions.
Regards,
RDP