As a non-resident you may only apply for the BH1. I suggest you NOT apply for the archery tag, though. I know it sounds odd, but there is a reason for this. We may have some in camp that are not hunting with a bow and will be carrying a shotgun (possibly flintlock .62 cal smoothbore). And if you are carrying an archery tag, the gun carrier has now committed a big game crime and we have reciprocity with 39 states. But if you are carrying a bow with your shotgun license (which is legal!), then the person carrying the shotgun is not committing a crime. Clear as mud?
So, you will be applying for BST-BH1 tags. Online apps need to be in by Feb 17, 8:00 a.m., however, since the tags are not limited, you can apply any time up to a week before you leave to come out here. Just so long as you have time for the tag to arrive by mail.