You may like to read "A simple low-cost linear demodulator for DSB-SC" on:
As you will find out, it is much easier to implement it than the well-known Costas Loop or Squaring Loop.
If you have good knowledge in electronics, as it seems you have, you can implement rather easily each function-box of this simple DSB-SC demodulator (I used it already for my private short range RF links in the 80's when I had no phone line at home).
Kerim