Lol. Here we go again..... 3. You can have the mics sensitiuity lowered with a 4.7 mod which will allows you to run them on a standard inexpensive b.b. However you could run into the situation where you need a preamp to boost the gain b/c the sensitivity has been lowered.
Here we go again indeed. The 4.7K mod lowers the sensitivity RELATIVE TO TWO WIRE, which itself raises sensitivity relative to 3 wire or the adapters. So needing a preamp for quiet material is no more relevant to this case than it is vs. the phantom adapters or 3 wire box.
Edit: My suggestions...
The JB3 does not have a great preamp built in, or even a good one. So if you will be taping softer music, a preamp is more or less a must. Chruch Audio and Sound Professionals both offer models worth looking into. If you are only taping highly amplified rock type music, then just a battery box should be fine.
As to phantom...if you run the AT853s, there is absolutely no performance advantage to running phantom adapters vs. a three wire battery box, as the mics see the same power regardless. Few if any people would argue that 3 wire power sounds superior to the 4.7k mod either, but at least there is a difference in what the mics actually see. You can get a 3 wire box much cheaper than the adapters, don't have to worry about the unswitchable bass rolloff found in some adapters, and a 3 wire batery box is much less bulky than phantom power unit + adapters. But, if you want a recognizable brand name (other than Church Audio or Sound Professionals), you'd maybe want to go the adapter route. And if you're ever going to record softer material, you'd definitely want a preamp so you might as well go with the 4.7k modded mics as they will work with a stock 1/8" input preamp, no separate battery box needed.