Squiggley
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Tupperware - I don't think that your doula saying you should meet other candidates is saying you didn't click. As far as I can see, it's standard advice that you should meet two or three people. The way I look at it, I wouldn't really trust a doula who didn't say that at some point (either in email/phonecalls beforehand, or at the meeting or both). Even if you're hiring a plumber you're advised to get three quotes, and think how much more important having a baby is. It's one thing to decide you don't need to see other people because you're happy with the person you've met, but that's very different from someone asssuming that you should just meet them.
On the turning down point, there's always something non-personal you can come up with. If in doubt, you can always say "I've decided to go with someone a friend used recently". It's such a personal job that going with a personal recommendation is easy to understand. Or "I've decided to go with someone who lives closer" (unless this one lives next door!). I know it's hard saying no to people, but they are professionals and this is their job. Just like I wouldn't expect to get every job where I attended an interview, and a plumber doesn't expect to get every job they quote for, I don't think a doula expects to get chosen by every couple she meets.
Hope you make a decision you are happy with. When you're specifically looking for a trainee, I wouldn't be too put off by lack of a website. I think a lot of them will email you information. Do bear in mind that a lot of the trainees are just starting out, so may not have had time to do websites yet.
I agree it's really important that you have someone your DH is happy with. DH was really on board with having a doula after a bad time with DD's birth, but he was a bit wary of how hippy they would be. He's very open to ideas like relaxation, mind/body connection, feeling safe and all that type of thing. However, he's quite a practical, straightforward sort of person. He wanted the doula to be someone he felt he could relate to to. You do want those two people to be able to work as a team, and certainly not to feel like you have to facilitate their interactions.