NO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
No no no no no. What your pictures look like on your monitor is COMPLETELY IRRELEVANT unless they match your prints. Prints are the only standard that matters.
Unless your screen matches your prints exactly, I forbid you to love your pictures on your screen.
I hope you understand why I'm saying this? If your screen isn't accurate to your prints, you can never accurately edit for perfect prints, and you'll waste fistfuls of dollars with disappointing prints, every week of the year.
The purpose of your screen is not to look lovely. It's to match your prints, period.
As it happens, there is a relevant and important parallel to be made with your computer. Computers are not meant to look lovely on your desk. Their only true purpose is to be the best possible tool for your work. Sadly you, like so many thousands of other photographers, bought a Mac. It looks sexy, but it's an inadequate tool for your work (and ironically, you paid far too much for it.) Mac screens can't be adjusted when they are too warm or too cool for print matching, and so you're left with the calibrator's adjustments only, and as you've found out, those are often inadequate.
For now, yes, get prints from a new lab and see if they're much different.
Regarding calibration, just below "Native" in the white point options, you'll see one called "Daylight Temperature ...". Choose that, and it'll allow you to try an even greater range of colours than the listed presets. But it's not a magic bullet, sometimes you get odd results, not at all nice.