It's doable, similar approaches are used for low frequency on some SDRs, and it's basically just mixing it with a carrier and then trying to keep the images to a minimum. That said, you'll probably get better results with a PC sound card and a spectrum display program, like the freeware Spectrum Lab.
A lot of SAs will be usable below their rated frequency, though, see if you can just set your span to start at 0Hz and maybe there will be a good bit of usable area in the audio band even if it's not specified as being totally even or leveled. My R3477, rated to 9kHz, would give you a usable spectrum plot to about 200Hz, where the noise floor started spiking up so the dynamic range was really small.