You shouldn't sell yourself short, Spica, Bashira and Victoria are quite powerful, Gellius is a great tank and Liana is great for events with paralysis since our only answer without it is to just wait it out from what I can tell.
I-Is it the checklist I developed? I need validation..!
But no really: The pirates I imagine are easy since two drop from one map, so you would actually see it as 2 chances for a 10% drop! No doubt you'll get the pirates you need.
The archers sound like it'll take time though, thankfully star events are typically two weeks.
Good luck for your heavy armor!