My first will was to embed everything in the Zynq7010 FPGA to show its wonderful capabilities. 

However I'm still in trouble to find the best way to do it!

For brainstorming, I can try a little resume of the features I want (ed):

• wide band (0-30 MHz) radio spectrum
• zoomable (30MHz ... 10 KHz) radio spectrum and waterfall
• listen to AM/USB/LSB demodulated station 
• IF bandwidth selection (1 - 32KHz or more)
• FT8 decoding and sending to https://pskreporter.info/

and the possible human interfacing solutions could be the followings.

• standalone:
  • LCD screen connected to HDMI (not present on EBAZ4205)
  • Loudspeaker connected via I2S 
  • switches, commands, frequency selector ... via GPIO

• WEB (like KIWI SDR):
  • spectrum and waterfall on the web page
  • audio streaming on the  web page
  • switches, commands, frequency selector ... on the web page

• PC software (like HDSDR, SDR#, ...)

Any suggestion?