there's 3 of these in your metro area
https://www.chefstore.com/
And one of these
https://www.restaurantdepot.com/
2 of these. With one off the 512, by the south hills mall.
https://www.costco.com/
AND of all places that people get their whole briskets from. The reviews from a few different smoking forums is positive for their Choice Packers .
Walmart.
310 31st Ave SE, Puyallup, WA 98374
googlemaps is your friend.
IF you want to drop some serious cash. As well as make a few connections.
Try the farmers markets. We hit a few of them up around here. Meat wise, very competitive with the safeway's, and kroger's, with better quality local meats
One down the road from your area.
https://www.puyallupmainstreet.com/
depending how far you want to drive, there's 1/2 dozen in the area.