The rear wheel is the most common problem that causes what you are describing. Some as simple as low tire pressure can do just what you are talking about. Your bike has an automatic alignment feature, if you didn't mess with that there are a couple of other things you should check.
1. Air pressure
2. Tread wear (hopefully you are using matched tires)
3. If you have a lift, put the rear wheel off the ground and spin the wheel, if it is oscillating at all you may have a bent rim, assuming your alignment cams are in the right place.
4. Finally check your belt tension. (While this should not be the issue, a loose belt is a sure sign you have had shift of the wheel)
If all is fine at the rear wheel, and your bike has some kind of wind screen on it, you should give it a good check. Usually if there is a problem with this part it is because it is cracked or fatigued. The flexing at higher speed causes a high speed wind wobble. If this is your problem stop riding the bike, because it my opinion this is one of the hardest things to get out of. Many times on a wind wobble it can get more erratic as you try to slow down, and can reach such a violent nature as to jackknife the bike. I had this happen on an old, original 1969 FLH. They had a bead around the upper edge of the windshield that would fatigue after many years and when it happened to me I was doing 70mph as I slowed down it literally was getting so bad the bike was try to hop. Luckily I was able to keep everything right side up, but it could have gone south pretty fast.
Hope this helps you find it.