This might be an easy way....
get a basic copy of the game from ZoS website...
create a new account
login with old account..
I had to use steam for Skyrim and hated it on a metered (pay as you use) internet. This time I refused to use steam and am very grateful that I did.
EDIT:
I guess what I'm trying to say here is - you don't need Steam to run the game. If you perchance purchased via steam - well I guess you have to play it via steam.