The Mega has the same processor speed as the Nano the difference is that the Mega has MUCH more memory for programs, many more I/O pins and more serial ports.
The decision to use a Nano comes down to your system design The Nano has D1-D13 but 1 and 2 are the serial port. You need 3 lines for the LPF and one for PTT that leave 8 pins for other possible functions:
Display
Push Buttons
Serial coms with the radio
Fan control
If you use a I2C display it uses A4 and A5 so that frees up some lines. On the analog side you need to monitor FWD and RFL power, VDD, IDD and temp, maybe the transceiver if it's a FT817 or Xeigu.
If you can get the pin count down you might consider an ESP32 which adds WiFi and BT which would be useful for interfacing a IC705 and the ESP32 is much faster than the Nano and Mega which is good for graphical displays.
73,
Jim WA2EUJ