It's not the CDs.
The OP describes a property that many, such as Lowrider and Arh, have also attributed to "remastered" CDs. IMO, the source material itself -- see ELH's remastered "Luxury Liner" -- has much to do with this perceived edginess.
While I'd not expect to make a silk purse of a sow's ear, an upgrade to your DAC might help, and perhaps room treatments or AC. Before doing anything, I'd try some ABs of remastered and original recordings, as Larry suggests. I'd also compare a couple of CDs that you know to be reference recordings (e.g., Valerie Joyce, New York Blue, from Chesky). I'm betting a lot of the trouble is on the silver discs. The difference between a good recording and a bad one can swamp large differences in gear.