Saluki,

You still have plenty of time to get a gun tag, especially for private land. The next drawing is in August and is for non-residents, people who didn't apply for first draw or didn't get drawn. As long as your going for a county tag you should still be able to draw one in August. I think Pope and maybe a small number may run out during the next drawing. In September there is a daily drawing for all remaining tags and a good amount of tags are still available for that, especially antlerless. I'll be picking up an extra one or two then as well.

Unfortunately, unless you are in a county immediately surrounding Chicago that doesn't allow gun hunting you are not allowed to bow hunt during the gun season. I know people are on both sides about this law. Hope this helps!