The loads I am loading are light target loads using Unique, Herco, Red Dot and I think AA#5.
The above powders do not require a magnum primer and work just fine in 38 special loads. I have (honestly) hundreds of rounds of these loaded at home in ammo boxes. I spent about 3 weeks and loaded up nearly 5000 357 and 38 rounds. I have shot them all, light to heavy.
I do not use CCI primers, personal preference, not saying they are not a good product. They failed me once in a shooting match, I changed my match loads, and used my remaining balance in plinking rounds.
I do have some really, and I mean REALLY, light loads in 38 special. Make almost no noise. I make a powder wad for these loads. I use a sized brass with enlarged flash hole. I put a nail into the case with tip thru the flash hole and head inside. I get those foam trays from the meat dept at the supermarket and push the open end of the brass into the foam. It cuts a nice round powder wad. After cutting 2-3, I use the nail to push the wads out of the case. When loading the case, after sizing, I prime, add powder, and put the wad in and push down onto the powder with pencil or similar cylindrical item. This wad holds the powder in place near the flash hole. Then seat bullet and crimp as normal.
If this doesn't cure your problem, try Winchester primers.
Steve