Intergalactic Summit

I'm sure you can find some old records of what a Jovian woman looks like, make a mask and get some body paint (if necessary) and hire a dancer from the Federation or Republic to wear that stuff for a price.

You're highly unlikely to contact any Jovians at all, let alone find a female Jove that isn't crippled by disease and thus unable to dance.

I would suggest trying to find some entity that you may incite into declaring war on the Jovians. If by some small chance you actually succeed in starting a war, there is a small chance that a Jove ship or two will be dispatched to deal with said entity. There is then a small chance you can figure out where the battle will take place. I would suggest trying to stay near the fringes of it in a very fast ship (a nanofiber'd interceptor with a microwarpdrive comes to mind, if by some small chance you are able to fly such a ship). If by some small chance your ship doesn't get blown up in the crossfire, there is a small chance that a Jove ship will be destroyed. If this happens, there is a small chance that some Jovians will make it out in an escape pod. Now you swoop in, and have a small chance at scooping one of the escape pods to your cargo bay during the one second it is within range to do so. If by some small chance you make it back to safety, you can check the contents of your cargo. There is a small chance that inhabitant of the escape pod will be alive, and a small chance (actually maybe the most probable single event) that said inhabitant will be female. Then there is a small chance of her being of able physical condition to dance for you, and a small chance of her being attractive enough to do so "exotically".

Should you be successful by some small chance (through this method or otherwise), I would greatly enjoy watching a holoreel of how you succeeded.

An uncertainty that would seem to be unfounded given the high incidence of Amarrian men who are in relationships.

I can come up with far more ideas that are far less practical (and possibly less sarcastic as well), if you would care to make a donation for my time.

As for the Sansha, I would imagine that they utilize the same wormhole technology that they use to create incursions. No one in known space knows exactly how it works, but it allows them to create wormholes to wherever they want.

Another idea free of charge: create your own Jovian! Start with just a bunch of eggs and sperms (sperms, spermii, sperm?). Genetically modify once or twice. Then modify them some more. Unmodify a bit. Modify a few more times. Then put the eggs together with the spermii. Periodically run some electricity through them while they're growing, just for good measure. Should any survive, you now have yourself a living, breathing (or possibly photosynthesizing) Jovian!

This is a terrible idea.