OP- there's a phrase that goes something like, if you keep doing what you have been doing you'll get what you've always got. If you keep going in this nice sounding life full of activities mainly frequented by females (or men who have already settled down), with the mind-set you currently have, you will find it hard to find anyone. Sorry to be blunt.
If you go on Match and put in 39 mile radius, and then exclude men with children, you have probably excluded 80-90% of men who may have been just fine for you. You have narrowed the pool. Many men looking for a 34 year old woman will be 34 or older, perhaps into mid-forties. Many of these men will have settled down once already, perhaps married, quite a few with children. Actually, men who have already settled down once aren't a bad catch- they are committed to being settled down and like family life, just not with the original person (who may have left them). By excluding these men and putting in a restrictive radius (ok if you live in central London, not ok elsewhere) you are already imagining in your mind this perfect man who hasn't got kids and lives just half an hour drive away. What if your perfect man lives abroad?! What if he has two kids and his wife left him?
I know the signs of fussiness as I was like this myself and my friend who recently married was even worse- no men with children no men previously married, no men shorter then herself (and she was tall!), no men who don't out earn her (and she earned a high professional wage).
The thing is- the time to be fussy is AFTER you have met them. She would go on dates, be very fussy, but once someone showed even a glimmer of interest, then stick to them like sticky glue, trying to turn them into The One. In the end, the book 'He's Just Not That Into You' put her on the right track- it's better to be open-minded about the form your future partner might take (they might be small, an ethnicity you dont usually go for, have an unusual job) but then be very fussy- only be with nice, caring, considerate and consistent people.
You also say you can't take the rejection of OD- but you rejected most of the pool plus 2 out of the 4 guys you met. So 2 guys 'rejected' you and some others didn't pick up your profile. I don't think that's much rejection by the age of 34, really! When I was dating, about 1/3 of the guys I dated didn't want to carry on from an initial meeting, but this is just not that personal- perhaps they have someone else, perhaps they are looking just for fun, perhaps there's no spark with you. It's a look-see. You will definitely risk rejection if you want to meet someone, it does sound like you are scared of this.
I agree with Thumbwitch you do seem to be putting a lot of barriers in your way, sub-consciously perhaps, or rather just sticking with what you know in terms of hobbies and activities. I suggested a dating agency- you have already dismissed the idea as you won't meet anyone you don't have things in common with- but what would you have to lose, really, apart from a few hundred quid!? I suggested reviewing your profile or your way of searching on Match- you can't face OD again in any form, even though this is pretty much the best way to meet people if you don't come across lots of single men in your work. You don't want to holiday alone either. I think talking this through with someone counsellor, really sympathetic insightful friend) may really help.