You don't have to use the HS Stock. You can mount one on a Remington stock but will have to file and grind the opening in the stock to fit.
If you want to get a reliable DM you will have to spend even more money for a Badger DM assembly. The good side about the Badger is that it uses Accuracy International magazines.
In point of fact, probably the easiest way to get a good DM setup is to by and Accuracy International chassis system for the Remington 700 short action. It is a metal frame with plastic skins but costs over $500. At least it is a straight "buy it and bolt it together" solution that you can do for yourself.