I take it that by saying "swaying" you mean that the arrows are fishtailing. It seems like you have experimented with a few different spine combinations by switching to different arrows and different point weights. You could possibly take this a step further and actually try a different size Goldtip and/or aluminum. I haven't looked at the charts but it is possible that you are significantly overspined or underspined even with the changes in point weight. Just a thought.

Second, you mentioned the fishtailing but are you determining this by watching the arrow go to the target or by paper tuning? Again, it sounds like you have made some effort by adjusting centershot but if you are just visually "watching the arrow" leave your bow then it is possible you are "peeking' during the shot thus causing the fishtailing action.

Third, you are trying different rests which is great...especially since you tried a drop away but are you getting a clearance even with the dropaway? I know several folks who have had problems with the timing on their drop away rests and they still get fletching contact.

Lastly, I would probably suggest taking it to a reputable shop to have them look at it. You are in Md. so I would suggest dropping by Len's shop. If anybody knows Dartons then it would be him. If there is something significantly wrong with the bow itself and not just the setup then he should be able to root it out for you.

Sorry I could not help more.