Mike, another option may be CCI #11 caps. Yes I know they aren't the preferred Remingtons. However, CCI always used more priming compound (compared to Remington)which made the cap sit a bit higher on the cone. That might be enough to take up the slack. At least up till the covid issues hit that's how they were made. BTW, those were funny looking cones on the Navy. Hard for me to tell from a picture, but I've never run across straight sided cones as you described. At least not on any revolver.