Is floyd rose worth the trouble?

First of all do you actually use or need a whammy bar with your style of playing? If you find that you rarely or never use the bar, then no you do not need a Floyd equipped guitar....tons of things I could say but will wait for your answer.

Well, if the FR is properly setup it should keep it all in tune for a long time, provided the strings aren't new. Tuning is something that'll get faster every time you try it, but can be a pain as well. If you use the whammy a lot, it is worth it, IMHO. If not, get a hardtail.

I find if i dont use the whammy bar it stays in tune for weeks. And when I use it loads it still holds pretty well, only needing the odd tune with the tuning things on the bridge.
I think some guitars with an FR hold tune better than others. The only hastle I find is changing string - I have a Jackson Kelly Performer.

Like the others said, tuning gets easier. But its not worth if u never use it.

Are you stretching the strings enough before locking them down?

All that needs to be said:

If you use whammy, it's worth it, if you don't, then it's not. You pay for your capabilities, if you don't use them, you're paying for nothing.

well I play a lot of metallica, but I don't really use it that much, which means I probably shouldn't have it. I do have Ernie Ball Slinky strings, and they might stretch a lot, so that could be part of the not staying in tune thing.