Hi OP, I'm local to Monkstown with 4 dc in secondary or just finished. They were/are in different schools for different reasons so I have a bit of experience, although it's very subjective!
Briefly, Newpark is outstanding for music and drama, and while they send a good cohort to Trinity every year, including medicine, it's not a school that suits everyone. From the sound of your dd current school, I think Newpark would be a bit of a culture shock, but she might absolutely love it.
Andrew's is a great school, similar ethos to Newpark, in fact I know people with dc in both who say the only difference is the fees. It would have parents with more academic expectations of their dc, and so is more pressurised but that's true of all fee paying schools. It ticks so many of your boxes that I'd be on the to them phone every week in case a place opens up.
Conleths is a lovely school, started taking girls a few years ago, previously only took them for 5th and 6th year. It wouldn't be the academic pressure cooker, but if your dd is self motivated she doesn't need that. The one thing I'd say about it is that it's a small building with children from 4 years to 18/19 and it can feel very intense and a bit claustrophobic! Definitely worth a look around though, your dd might love it, the location is lovely and pastoral care is v good.
A popular option if your dc is focused on points would be TY/5th year in say Newpark or conleths, then 6th year at the Institute on Leeson St which is laser focused on points. That could work well for your dd.
All girls fee paying, say Alex and Mount Anville would be v similar to your dd current school, lots of stress and anxiety in those corridors. Rathdown is very nice, less pressure, good arts, nice girls, lots of foreign boarders. Lots of ex pats, definitely worth a visit if they have a place. Loreto Dalkey is nice too, lovely location, nice girls, not so much of a pressure cooker. If you have a place there I think your dd would find it quite different to her current school, and she would have the option of the institute for 6th year, The institute do TY/5th as well, but I don't think it would be ideal, friends would be dispersed all over the city, and the focus is different, less sport/art etc.
She's lucky to be coming in to TY, it's a great year and will be a really good opportunity to make friends, have some fun and try new subjects/experiences. TY programmes vary a lot from school to school so look into that when you're making your choice.
It's hard to get too specific here, too much identifying information, but please feel free to PM me, I'd be delighted to go into more detail if it would be helpful 😊