In Mich. you have the draw tag system as well,But Some people I know get drawn on the first year applying.But then other's get drawn on the second or third year of a draw.
You can also hunt with dog's or over bait in Mich.
For the most part it would run you about $1,000 the hunt,(Not including the price of a Hunting tag and lodging&meal's)
You can apply as a buddy system where if one get's drawn you all get drawn,But I would check on the Mich DNR web site and read up on the rule's and Reg's.
Good luck to you in your quest.