One caveat… it has to start with “Jasmine”
I’ve been using the name Jasmine for a while now, but I need the end to it. She’s kind of a trashy girl, but very pretty… she likes to wear short skirts and tight tops and very high heels, and she has red hair. In short… if she’s dressed like a prostitute, she’s happy 
Suggestions I didn’t like:
Jasmine D. Flowers
Jasmine T. Youwanna
etc…
How 'bout “Jasmine Pleasedontkickmyasswhenyoufindoutimactuallyaguy”?
Catchy, and functional.
How about Jasmine Hasone
or
Jasmine Jock-in-the-box?
I’ve always been partial to Tawdry Baubles, but…
Jasmine Meadows
Jasmine Lorraine
Jasmin LeBlanc
Jasmin Gamine
Umm, the only Jasmine I’ve known was too demure for me to do the paradigm shift here. These don’t have the right ring to them…
Jasmine O. Taur
Jasmine E. Appolis
Jasmine Etrice (long i “eye”)
Jasmine of La Mancha
Jasmine E. Scule
(I hate the name “Jasmine”)
Jasmine L’Queen
First name: Name of your favorite flower. So, you’re already set with “Jasmine.”
Last name: Name of your favorite resort.
I, you see, am “Daisy St. Bart.”
Jasmine T. Fresche
Jasmine Decino
Jasmine N. Jaitis
Jasmine Rolle-Waters
Jasmine Imum
Jasmine Itmann
(for all of these to work, you have to put the accent on the second syllable of Jasmine…)
As per Eve’s patented drag-name generator:
Ladies and Gentleman, presenting for the first time here at the SDMB cabaret,
Ms. Tulips Monte Carlo
Jasmine Bloom
Jasmine Tea (accent over the e in Tea)
Jasmine Moon
Jasmine Cent or Scent
(I like the name Jasmine)
Using Eve’s drag-name generator I would be Fressia Solmar! 
Hmm, my drag name would be Indian Paintbrush Koh Samui–too wordy. Oddly, my porn name (first pet + first street you lived on) works much better–Lavinia Woodbine.
What’s the drag name generator? No one tells me nothin’!
Jasmine Starlight
Why not just manipulate your name around and have it as Jass Man. I think it has a catchy ring to it. Tarnations, Jasmine Humpme (Jazz man, Hump me for the illiterate) would be pretty funny too.
Hmm, my drag name would be Indian Paintbrush Koh Samui–too wordy. Oddly, my porn name (first pet + first street you lived on) works much better–Lavinia Woodbine.
Generally, a drag name should be a pun, like Bertha Venation, Virginia Hamm, or Vida Boheme. My suggestion would be something like Jasmine Dabutt.
Here in the the metro DC area, the reigning drag queen is Esther Goldberg, who uses the persona of a yenta with a scatological sense of humor to great effect. Anyone in DC should check out her show at Titan.
Heheee… funny
Yes, generally a drag name is some kind of pun or double entendre. But around here we have such folks as Katrina Sparkles, Sable de Ville, Joey Lane, etc… so it’s not really necessary.
Jasmine Atwork
Jasmine T. Green
(Inappropriate for your needs, but my favorite pun drag names are Alexis Arquette’s “Eva DeStruction” and Harvey Feirstein’s “Bang-Bang LaDeche”.
According to a different drag-name generator, mine is “Chin-chin Tulane”. (Your pet’s name when you were a kid + name of street you grew up on)
Since I will likely never be a drag queen, I’ll allow you to use “Jasmine Tulane” if you want. I think it’s a great drag name.
Huh. None of the drag queens in my neck of the woods have pun names that I’m aware of. My own preferred name is Rita T. Leaf (“Rita” from Alec Guiness’s line “I prefer to be called Rita!” from “Murder by Death”) although a librarian friend of mine says I should change it to Rita Book.
James. Jasmine James.
I was going to suggest Dixie James, but you already had the first name picked out.
My favorite drag name was probably Ms. Helvetica Bold.
Unfortunetly, I can never be a drag queen, as I have neither a favorite flower, not a favorite resort.