If you indeed are suffering from BPV, see an ENT or an appropriately certified physical therapist, who should be able to conduct what is called an Epley Maneuver to help get the tiny crystals in your inner ear that cause vertigo back where they belong. It's a miracle once it finally works, but it may take a few visits, and they should also do some additional testing to rule out any possibility that it's neurological.
I'm assuming your symptoms at the moment are not acute (otherwise, you probably wouldn't even be able to read this without the page spinning). If they are, I feel for you. I just went through that last fall. The morning it struck, I was utterly incapacitated. At the ER, they gave me a shot to take care of the nausea. Thankfully, that never really returned, but the woozy/dizzy/unsteady effects lasted for months.
It started with acute symptoms that had me in bed for a few days. Over the next few weeks, we tried a few things, including more Epley Maneuvers and a short dose of a steroid in case it was being caused by inflammation. During that time, my symptoms were no longer acute (I was a bit woozy, had to keep my head out of certain positions to avoid triggering the spins) but I could go to work and even travel via plane. I wasn't 100% during those short trips, but I was able to power through. It took a few months until that "hangover" feeling finally went away, and things are now pretty much back to normal.
Luckily for me, the plane travel didn't trigger any acute symptoms. But I wouldn't want to be on an overseas flight or in an unfamiliar foreign country alone if those acute symptoms ever came back. If I were you, I'd consult with a physician (perhaps a different one? I suggest seeing an ENT who has experience treating BPV) to make sure things are at least under control before committing to that trip.