I don't shoot a super recurve, but my shooting partner does. Two things I know from that. One is that he shoots a very heavy spine for the poundage, and two, the brace height is lower than on any other recurve I've ever seen. Because of the low brace height, I don't think there's room for much error in spine selection or you will get the arrow slapping off the side plate, causing the tail wag.
Given that your in the ballpark, a 300 spine is about 106# and a 350 about 90# according to the Easton charts, I think you'll just need to refine point weight and/or arrow length until you find the combination that works. Also, check the brace height to make sure it's not too low, and maybe even raise it some even if it isn't. God luck.