You do have the option of accepting missions against Minmatar and harvesting some or all of the tags. If you’re running level 4 missions for Zoar & Sons, you really shouldn’t worry too much about your Minmatar standing!
I don’t know what the drop rate for the tags is but the potential exists to get the BPC for 11 million cash plus the time it takes you to run the missions.
People these days want to be friends with everyone and many choose to blitz missions - abandoning the loot & salvage. If you’re running missions anyway, accepting the standings hit and taking the bit of extra time to loot the tags can be quite profitable.