There are plenty of very good carts for under $3k, but the Spiral Groove / Phantom combo is very much high-end. Honestly carts in the $3.5-$5k range would be typical. Not that spending money is important in itself, just saying the table deserves a really good cart if budget is available. I'm not experienced with the Herron so can't say how it will affect the equation.
Miyajima deserves their good reputation, definitely not analytical (some might say less detailed).
You could try one of the moddified Denon dl103r that are out there to keep costs down
The Sensitive Sound line is great, but I'm involved with them will leave that to some upcoming reviews...
There are so many more- we live in great times for analog!