Hey ach!
The sound you are looking for from your COB Dynasonic as you have described it... "some bottom and punch", isn't really where this particular snare drum functions, and especially in the case of the COB model. The snare frame/snares are certainly a MAJOR PART of what makes the Dynasonic a Dynasonic, but...
In this case, I don't think you will get the sound you are after even with the frame/snares. The Dynasonic is a very bright and articulate drum, and that is the arena it functions best in. That isn't to say that you couldn't use this drum for different styles of playing/music, but the COB shell is ALWAYS going to be very crystaline and bright sounding with exceptional sensitivity. It can be tensioned very low with regard to the batter head to get more "depth", but then it will buzz and rattle and sound like a complete pile of crap. So,
Will the frame/snares alter the sound of your Dynasonic? YES! Absolutely! But not in the area I think you want to be in. Here are a couple of options:
I own two wood Dynasonics, a '66 and a '67, I also own two COB Dynasonics, a '64 and a '65... so ... A WOOD Dynasonic will give you a lot more of the depth/warmth that you seek based on the shell material... but! ... these can be very expensive. I think you might want to consider the...
Rogers SuperTen. This drum was Rogers answer to the Ludwig Supraphonic 400, and it was a fine asnwer at that. I also have a SuperTen and have noticed that this particular drum is for all intents and purposes, a Dynasonic with a different shell make up... ( steel ) ... and no snare frame to fool with. It's tuning range is unbelieveable in that one can tune it real low and honky with a lot of depth, or crank it up and play Ska/Reggae at the other extreme, and all without choking. The SuperTen can be picked up pretty cheaply too... they never seem to command much in the way of price, as a lot of guys never paid much attention to them, which is a good thing!
Hope this was of some help to you!
Tommyp