Yes I'm sure about the snow thrower model number

I have a 2001 LTX1000 and I purchased the snow thrower last fall.
Go to www3.sears.com and search for part number 24839. You should be able to bring up a parts diagram.
It took me around 2-2 1/2 hours the first time to mount the snowthrower - by myself. Parts of that assembly stay permanently attached. I suspect it will take around an hour or so in the future. The most time consuming part is putting on the chains and the wheel weights.
The pully assembly for the snowthrower is removed when you put the mower deck back on.
My driveway is very similar to yours, except just a bit longer at 200' - basically flat.
I was able to go though 8-10" on snow without many problems. Once I clear out enough room to make the first turn around at the end of the driveway its not too bad. It take around 30 minutes give or take to clear out the driveway.
One thing that I did also purchase is a snowsuit - it helps keep me warn while I'm out there. Sears does sell a cab, but I'd worry about fogging and the snow sticking reducing visibility.
Hope it helps!