Austin Allegro...what you say about needing to be a bit 'warmer' going into an approach is true. This is why I suggest you get the non-verbal sign first, or use an INDIRECT opener as I suggested. That way, you come across as 'non-suspicious' and then before you know it you're already into a conversation. As the conversation progresses, you can up work your DJ magic, mostly non verbally.
Where did I do these approaches. Well, I picked up a girl at a bus stop once. I wasn't even expectong it to work, I simply asked her if she knew if a certain bus stopped there, and she said 'no', but happily walked me to the stop where I could catch that bus. I sensed I was 'in', so I cooly carried on the conversation as a true DJ should, and she ended up waiting with me until my bus arrived, and I ended up getting her number. Unfortunately, she turned out to be too immture and have too may issues for my liking, so after meeting her a week later, I decided to not see her again.
Another time I was waiting for a train, which got cancelled, and they had to put on a replacement bus service instead. A particular girl who was waiting on the platform also got on the bus, and sat right next to me! So it was easy conversation, and we ended up talking about all sorts of 'deep' stuff like where we'd like to live in a ideal world, etc. Sadly, I wasn't on the ball enough to get her number, because when it came to her stop, she had to get off the bus in a hurry and I didn't get a chance to get the number. Oh well.
Another time, around last christmas, I was in a takeaway, and there were 2 girls sat at a table whilst I stood a short diustance from them waiting for my food. After getting eye contact with 1 of them, i said 'Alright?' in a friendly tone, and I can't remember what I said next but I asked them where the good bars were in that town. See how easy it is to talk to women if you just make an effort? They were really friendly and receptive, but it didn't feel right to go for the number somehow. Anyway, the next day I was walking through a shopping mall in the same town, when a girl approached me and said 'hi, do you remember me?' It was 1 of the girls from the takeaway the previous night! She told me all about her good night out, and her plans for the evening. Silly me didn't react quite enough to get her number or a date, but oh well, I've learned from my mistakes now.
The point I'm making here is that although I've not yet got massive success with a UK girl, it's definitely possible to get them interested in you from a cold approach. As long as you come across as a MAN in every sense of the word. I could've bagged these chicks with a bit more effort to get numbers, but at least I've shown what's possible.