Someone may say, "That's fine, we will only put research that is meaningfully refutable in this archive," but then you invite endless argument about whether string theory is refutable,

That's why I mostly just concentrated on medicine, where you can simply ask whether replication studies on "thing X helps people" manage to reproduce the original result or not. Yes, there's room for interpretation and disagreement even here, but hopefully less than for "is string theory refutable".