Can you try having a shower with her instead of the bath to try to break the meltdown habit? Perhaps after a bit of time away from the bath she won't be as inclined to crack it? Or some bribery treat to get her out of the bath like "Quick, we need to get out of the bath because daddy is falling asleep in the lounge and we should jump on him" (or something that might be considered fun in your house lol - we are simple folk here).
This is great advice. I am a firm believer in tantrum memory - so they have one once and then when faced with the same situation eg getting out the bath they just do what they did the last time -so breaking the pattern is best way in my opinion. The quick let's jump on daddy thing works well here too - but mine are a little older - but "Stop look at that flying elephant/toilet/whatever particularly interested in " also seems to work well from quite young.