I would sure eliminate the possibility of it being a scope problem before any surgery on the stock.
You might also first try increasing the pressure on the tip by inserting a business card or matchbook cover. If incrementally and judiciously increasing the tip pressure helps, that can be made more permanent with some stock repair material/epoxy/glass, and sanding. Like you already know, often the opposite works better: floating the barrel helps by relieving any pressure or contact with the barrel.. Pretty easy to do by sanding and resealing the barrel channel.
Just a suggestion that before you do any surgery, you might want to fool around a bit with that tip pressure. Also, you might check your action screws, making sure they are correctly tightened in accordance with Ruger's recommendations.