Do you think this is too risky and or crazy?

I attended a morning cardio kickboxing cl Monday-Friday from 7am - 8am. The cl is a great workout and very fun. I met this girl there, who is awesome. I'm pretty much in love with her and I'm pretty sure she likes me too but there is this kind of nervous energy between us because we haven't really talked to one another except once very very briefly. We made eyes a lot though. I stopped going to the cl last week and I miss seeing her so much. I want to see her again but the cles are so expensive and you just can't show up to one, it's a 2 week commitment; and I don't have her number and I don't know her from any where else. I was thinking about sending flowers to the gym for her with a note saying how much I like her and asking her out. What do you think about that? There is really no other way of getting into contact with her and I like her so much but is that an inappropriate thing to do being that the gym is a place of business and it would totally catch everyone by surprise and the last thing I want to do is embarr her or get her in bad graces with the management there. So, what do you think: romantic or inappropriate?