I've owned and do own both HS and B&C Medalists. Here are some facts:
1. They weigh about the same, and both use the exact same aluminum chassis as each other.
2. BC has a slimmer stock profile, and has checkering.
3. The HS has better quality paint.
4. Every BC stock I have messed with did not have the aluminum blocks or even pillars for that matter set properly in the stock. You had to fix it with bedding. The HS's I have owned were perfect right out of the box.
If you like a slimmer stock, and are good with bedding and fixing inletting then get the BC. Otherwise get the HS.