Somebody was asking about depths and ice-thicknesses in the arctic ocean earlier in this thread; Since I'm having a slow day at work.... Here's what I found.
In the region that the mad-dog expeditions group goes to, the ocean reaches a depth of about 200m (700'). However, since this is in the middle of the archipeligo, they could presumably pick any depth desired, simply by moving in towards land, or out into the inter-island channels.
Pack ice in this area tends to be about 2-4m (5-12') thick, although pressure-ridging can make mounds that extent 5m (18') in either up or down.
If you move north of the archipeligo, you move off the continental shelf, and into the Canada basin, where depths go down to 3000-4000m (10000-14000').
Running between eastern Russia and Greenland-ish is a ridge that divides the arctic ocean in half. This ridge comes up to within about 1200m (4000') of the surface. On the Russian side of the ridge, another ridge seperates that half of the arctic ocean into another two basins.
East of Finland, north of western Russia is the Kara sea; a large region of the arctic ocean where depths tend to max out around 70m (220'). This extends quite a ways out from shore, before dropping off into one of the Russia-side basins.
On the other side of Novye Zemlya (The big island sticking up from the middle of Russia, as an extension of the Aral Mountains), is some other sea (whose name I can't remember, and probably couldn't spell even if I could). Like the Kara sea, it's a vast shallow region, before decending in the high-north into the other Russia-side basin.
Ain't geography fun.
Jamie