I agree with @T L about the rose gold. Also the garnet will likely lean rather brown. Are you ok with that? I learnt the hard way that these things will tend to be more brown than pink.
Here is a zircon I bought that was supposed to be “pink”. It is hardly “pink” by any stretch.
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I have a zircon that color. I put it in rose gold, but yellow would be nice. It will look more brown or gray in white metal. It depends on the look you’re going for
This is my feeling exactly... I would set it in rose gold to optically deepen the saturation a bit. I think yellow gold will further muddy the color and white will simply wash it out. Good luck! Love the cut!!