The differential between my rough estimate of Venus' gravitational escape velocity and our matching orbital speed leaves you a deficit something on the order of 83,000 kmh to make up in wind speed.
That's why I was saying we'd need our tether to extend beyond a L point between Venus and the Sun. It's a region of stability between gravitational pulls. On the Venus side, you fall towards Venus. Sun, towards Sol. Park your mass on the other side of Venus' L3 and tether back down to the planet. It's a long way, too far even for our carbon mono-filament "spider web", but at least the numbers would work out.
Venus' escape velocity is just slightly less than that for Earth.
It's rotation period is 243 days. But its year is just under 225 days. The cursed planet takes more than a year to rotate.
It's a pure-blind cinch that a standard beanstalk won't work. That's why I'm suggesting a skyhook. Skyhooks operate in a variety of ways, but the key is that they don't go all the way to the ground, just dip into the atmosphere. Rotating skyhooks, by the way, are cool!
Back to the planet: I need to quote twice from my ancient atlas of the solar system.
"About 90 percent of the volume of the entire atmosphere lies between the surface and height of 28 km, and at this level the atmosphere resembles a massive ocean; it is dense and very sluggish in response to solar heating, which naturally is feeble at these depths."It goes on with further interesting details but my point is that for a balloon floating at about fifty klicks up, a geosynchronous satellite would be worse than useless.
"Without doubt one of the most surprising properties of Venus' atmosphere is the rapid rotation at cloud top level. The rotation period is only approximately four days, which is very fast when compared with the solid body rotation of 243 days."
Since the wind goes around the planet quite reliably at about a hundred hours, I propose linking the balloon to a similarly rotating position less than 150,000 klicks up.
Just as Arthur C. Clarke pointed out that between the moon orbiting at 28 days, and a satellite going around the Earth every ninety minutes, there had to be an orbital altitude where a satellite would go around the Earth in exactly twenty-four hours, and would appear to remain stationary to observers on the ground.
Well, to an observer in a balloon racing around the planet Venus, a satellite orbiting the planet at the same rate, ( a hundred hours), would also appear to be stationary.
Dropping a long tether from that satellite position may require a lot of carbon fiber or nano-tube bundles, but it is eminently doable.