Oh yuck, it sounds like your tarsorrhaphy was really big! It sounds like that's the only thing they've tried for you? Hmm... that's weird. I always thought that was typically a last resort kind of thing.
Like many of the others, I also use Refresh PM (or the Target Brand night time ointment, which I actually like better), mostly at night but also sometimes in the day if needed. I use Refresh Celluvisc drops throughout the day, as needed. For the first month out of sugery I wore a 'moisture chamber' (aka piece of plastic wrap held on with a ring of vaseline) over my eye constantly, because it didn't close very much or blink at all.
To be able to get rid of the moisture chamber, I had a gold weight implanted in my upper lid, which helped with the closure.
Then, when my eye was still feeling irritated all the time, I got a punctal plug in my lower tear duct. This helped immensely, because the artifical drops I put in were then staying in my eye instead of just washing right out.
Everything was going smoothly until a couple months ago when I let my eye get too dried out. Then my doc put in an upper punctal plug. This helps even more with keeping the drops in. Now the only place for them to go is down my cheek.
So they last longer.
Finally, I did have a small tarsorrhaphy done not long ago, to help avoid damage to the 1mm of cornea that just never gets covered with eye lid. My eyes don't match, but it doesn't look terrible. The doctor who did it said he only sewed "a very little bit". It sure was painful though! I dn't blame you for not wanting that again! It doesn't seem right for your doctor to think it's an easy "flip flop" procedure.
Anyway, I post my whole history just to give you some ideas of things that can be tried first.
Also, I would be careful with the warm compresses. I know they can feel good (especially when your eye is full of ointment 'crusties'!), but I was warned to be really careful with them. I guess because an exposed cornea gets 'numb', and it's hard to tell if it's getting too hot under the compress and damaging your eye.