Bowhunting Greenland has 100% success rate for muskox hunting and the SCI archery caribou world record. Expedition hunts in remote and scenic areas
www.bowhuntinggreenland.com
The above should give you a good idea for a start.
There is also a couple of links on there to articles written by people that have Bowhunted with him.
I haven't personally hunted with Frank (still saving my pennies) but he is your man if you want a wilderness adventure,
I have talked to him about his outfit at another Bowhunting event on a couple of occasions, and I know others personally that have hunted with him, all recommend him.
I will hunt with his outfit one day.
I think you may be able to get a musk ox hunt cheaper out there but they will probably take you an hour outside town on a snowbike to get it done.
With Frank its a 6 hour boat trip up the Greenland fjords to camp,..or a helicopter depending on time of year.