Look up targetshooter online magazine. I did a three-part examination of the issues involved and tested some 15 models in 308 Win Lapua Palma brass with coincidentally the 167gn Scenar and Viht N150.
small rifle primers | Search Results | Target Shooter Magazine | Page 2
for the final part, but I'd recommend looking at parts 1 and 2 re the issue of SRP types and classifications.
Depending on your rifle's firing pin to bolt-face aperture fit, the thinnest cup models, Rem 6 1/2; CCI-400; Winchester WSR may prove too fragile and crater badly, worse 'blank' (ie pierce blowing a disk of cup metal back into the bolt).
BR models are in effect SRMs so far as cup strength goes.
Loads can be very primer sensitive and often need some fine-tuning on changing the model. As a rule, the smaller the cartridge and powder charge, the more this applies - 223, 6.5 Grendel, 6BR etc can all behave differently on a primer swap with no other changes.
If you can get them locally, I'd recommend the latest version of the Russian Murom KVB-223 standard primer, packaged as Small Rifle Competition, or something like that. For Russian primer fans, a warning. When current in-country stocks run out, there will be no resupply - the import ban on Russian products is now being enforced strictly I'm told.