I'm just a dumb CONUS suburbanite but theres no way to tent a boat to avoid it catching 2000 lbs of wet snow?
Sure you can tent it; that's very helpful if you can get one built. But firstly you have to understand we're taking about 10,000lbs of snow on a 35ft boat, not 2,000. So even with a tent it's going to be heavy, and you should check your boat to make sure the tent didn't collapse.
Also, with regard to balance and buoyancy, a snowed-on tent is going to move your center of stability up several feet and if there's any list to your vessel at all that will get compounded and also possibly capsize or swamp you.