First I suggest you crop the left side, bit that'a a matter of photographic taste.
Second, I recommend that you desaturate the red a bit.
Third, if you haven't tried this paper yet, check Ilford Gold Fiber Silk. You don't need to buy it to see the effect. Go to the Ilford site, download their profile for the paper and your printer (if they have one - if they don't use the Epson Premium Luster Profile) and see how that looks.
Fourth, try changing the Rendering Intent to Absolute Colorimetric. It will strengthen saturated colour.
Fifth, with a subject this brilliant and saturated you can't expect the print to replicate what you see on the display - transmitted and reflected light produce different effects. That can't be totally eliminated regardless of all the above.