Eric,
I don't own a 3000, but I have several other large diphragm mics, and I don't think they are as well suited to live performance as they are to studio work. The sensitivity is greater, and therfore, picks up too much unwanted noise - for instance...the clicking of the plastic keys... I hate that !
For live work, the 1000s is a better buy, but mics are personal - use what works best for YOUR voice. there is NO perfect formula for the right mic - only tried and true suggestions. When Neumann came out with a hand held mic ($500 Range) I was ready to love it .... but I didn't. There was NOT a $350 dollar difference over my EV 767a.
Don't buy "hype" - buy sound.