The Seven's bane,is their handle(s). All of mine wear McMillan and responded most favorably to that transion(all S/S synthetics,running the .378",.473" and .532" gamut).
Is there something mechanical inherent the Seven's barreled action,that precludes it from doing wonders when floated? Certainly not.
Undoubtedly the stock is your woe and bedding is much mooter than that. I'd FL and rock on.................