I would request Tower 3 (because the club level is in Tower 3).
If they are unable to upgrade you (for your Loews First number), ask them very nicely if they could give you a comp pass for the Club Level since they couldn't upgrade you. I'm here now, and that's what I did. They gave me the pass (the guy commented on how nice I had been about their not having the upgrades - I had 3 rooms - and said that he would be happy to do that (but he only did it for my room).
My assigned room is in Tower 1, and the club level is in Tower 3, so I have to walk a ways.