Unique is not primer sensitive. Either WLP, CCI-300, CCI-350 will work just fine.
Test results:
8.5g Unique, 255g SWC, CCI-300, 977fps, 17 SD, 56 ES, 15 shots
8.5g Unique, 255g SWC, CCI-350, 985fps, 21 SD, 82 ES, 15 shots
I did these tests on a few powders because I ran into the same problem you did the last time around we have primer supply problems
.