If you had posted a poll instead of a question and just said 'budget = $250, what mics/preamp', faced with a specific choice, I'd guess that 90% of the responders would have said CA-14 + church preamp combo. It's the same answer given whenever anyone asks this question, which is probably about monthly. Not dissing your post, just saying that this is probably the most frequent question asked here and the answer is always the same. It's really a no-brainer, as far as I'm concerned. For the money, this combo sounds just outstanding.
FWIW, most of the other discussion here about options would put you above your budget, so that's what I'm focusing on, though I agree with all of the comments provided.