Judi, here are my thoughts, for what they are worth:
1. While I like this one, it doesn't say "Fine Art" to me. It make me think of a printing house or something. I think it's the dashes - I don't like them.
2. This one looks pretty good. Like runnah said, I would address the kerning on the second line. Also, the circles don't look like flares to me - I actually thought bubbles when I first saw them.
3. This is the best one. I like the hand written name and it seems to go well with the thin font on the second line - although I would move the line and flare a little closer to the name. One concern here is your last name may be tough to read - Smelko isn't the most common name in the world! I like the flare better here but I'm still not crazy about it - it may be the 3D nature that troubles me. I like what you are doing with it and it's a good idea. I would proceed with #3 and work up some additional flare ideas.
Maybe some combination or variation of #2 and/or 3. I'm not sure if they completely reflect your style, I'm thinking of the lovely florals on your page because those are what stood out to me - the ones with a touch of color seem to connect to that the best I think.
I don't know in the second one if people will catch the O as being part of your last name. I like the idea of the third one but the lettering of your name seems to be a more casual style and the rest seems more stylized or formal.
But bacon might lead the voting because who can resist bacon?