No way to control BBA? I've not had any issues with it for a decade. But I did as bad in the past as bad as anyone here.
I've helped people's tanks in person many many times to solve this algae issue. I cannot be getting this lucky for this long. CO2 is the key if you use gas.
No water changes seems to do it for the non CO2 tanks.
BBA grows fine here in the USA in most streams and at high pH's just fine. I have it at my research site and the pH is 7.8. Most algae are cosmopolitian FYI(Desmids are the only exception). Vietnamese algae
Changing the CO2 levels will influence algae like plants, but this one does fine at higher pH's. You could just put salt in the tank which would also hurt the BBA. Or copper sulfate at low concentrations, especially with Crypts.
You can set a BBA covered rock out dry for 6 months and then put it back in the tank and the BBA will start growing again. Many intermittent streams have BBA covered rocks that become actively growing after the rains come.
BBA needs such a small amount of nutrients to grow well, there's no way you can do this and still have any plants...........at least for any length of time. The organic matter theory is also questionable as many people have low organics and do many frustrating water changes in an effort to beat the algae.
Fish questions does 25-50% weekly. I use to do that much if not more when I had BBA.
Carbon, well, who knows. I ain't going to try it nor tell anyone too

How long will it last afterwards? It might work, I don't know. I would think it would do the same thing if you turn the lights out and ran the water through a carbon filter on the same tank.
Still gets back to that issue.
Once you kill it, how do you keep it from coming back?
Non CO2 tanks don't have any BBA even though I introduced it many times. These tanks had very high % of DOM so the high organic matter feeding the algae does not seem to be a valid reason either.
Adding enough CO2 has been reported by myself, Germans and folks all over to solve the BBA problem. Seems pretty clear, try it yourself a few times by introducing it and then try messing with your CO2 levels to see if you can induce it's growth.
If you have a non CO2 tank, you can also try introducing it and see if it takes or not if you do this method Diana Walstad suggest. Mine's slightly modified but essentially the same.
On CO2 enriched tanks:
We tried everything with pH, NO3 and PO4. Then copper, barley straw, fruity pebbles, motor oils....no wait, that was snake oil

None of it worked.
Enough CO2 has worked on every tank that had BBA I've dealt with.
I use to have a covered tank, the difference was adding enough CO2.
That was over 10 years ago. I've had plenty of time to play around with other possibilties.
Most folks in the world really don't give a hoot about BBA, except for the aquarist that gets it in their planted tank. Thus not a huge amount of research is done on the species.
It does not hurt to remove as much of it as you can without hurting the plants and is not a bad idea either.
Speaking of Russian UV's, some poor guy over in RU had a horrid time making a UV, they could only find a 6ft UV bulbs so the device became one of those gigantic monsters. Necessity is the mother of invention, I've made more crap than I care to admit. Some thrive on making DIY stuff as hobby by itself.
Regards,
Tom Barr