locking trem

So, I had the old problem that many have had with tuning stability on a Lo Pro trem and other locking systems. The guitar is a mint-condition Ibanez UV777, but the strings just would not stay in tune. If I do a dive, they return flat. If I pull up, they go sharp. This has been bugging me for...

I absolutely do not like tremolos. However, most of the guitars I want now have tremolos. "tremolno", I've seen that word around here. So how would you lock the tremolo?