It sounds like you really like the sparkle of the rounds. It's very different from an emerald cut. If that speaks to you the most, I say use the budget for that. If you wanted it to have some larger stones i.e. graduated, your budget would allow for it. Here is a graduated version with both five and six stones. And your finger is not chunky. The graduated look may also feel more engagement like too.
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I think the first ring was slightly graduated which is nice. I'm on the fence!! I have definitely decided I like 5 / 7 stones but haven't look into the emerald cuts as the ashoka was the first one like that I've tried