I don't think it's wierd IF you happen to be already using public transport, but you seem to be suggesting jumping from one mode of transport to another and wasting good money without having anywhere particular you're trying to go? Is that what you're suggesting? Cos if so that's definitely wierd.
And also how badly would you have to fuck up to actually feel the need to GET OFF THE BUS to escape her?
"Hey, does this bus go to..." isn't really an opener, more of an enquiry. Try something more along the lines of:
"hey, will this bus get me where I need to go?"
Her: (laughs?) "well that depends where you're trying to go, doesn't it?"
"Don't get evasive with me missy, just answer the question!"
OR FOR THE TRAIN:
"This driver must be really skilled"
Her: "how do you mean?"
"Well, he's been driving the train all this way and it hasn't once come off the tracks, that takes quite a lot of skill, wouldn't you say?"
These are just ideas that I haven't field tested but I think I will as I quite like them. I'm just saying you've got to be a bit more imaginative than "hey, does this bus go to..." She won't even know you're trying to start a conversation with her, let alone hitting on her!