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DSP Audio Filter

I've been in analog RF design all my life. A modem vendor has told me that the audio filter in a new SSB radio absolutely has to be an FIR filter, probably with about 89 taps. This would be a low pass filter, less than .5 dB ripple, pass band to 2800 Hz.  Stop band from 3000 Hz to 5000 Hz at -50dB. I don't know enough about DSP to approach this rationally so I'm searching for a reference design which would fit the bill or can be modified to fit the bill. Is there such a thing in your vast library of information? Or could I get pointed to a suitable processor and take it from there?  know my way around Python, which I understand may be useful.
Thank you
Bob Haagensen
Ocean Wireless
Halifax NS