megmerc- Hard for me to predict what LSP you're gonna like, but if you want the "glass look" I don't think KSG is gonna give it (with or without the Souveran topper). KSG gives more of a "plastic-coated" look and the Souveran is used to (try to..) impart some depth and "richness". Souveran can give a nice clear look (it's my wife's fave on silver) but it needs redone (including being stripped off now and then) all the time, and I mean *all* the time. Plus, you need better protection for real-world use lest you get etching from bugs/birds.
For the "glass look" I think you'd want something very "clear" and highly reflective.
What color is it? If it's a light or medium color I'd probably use FK1000P. Other end of the color spectrum- on my dark blue car (21 years old, I think of it as my beater) I use Collinite 476S and it looks so good that people with new cars ask what they should use to get that look, and the same wax is what I use on my pal's concours car (some "expert" though it was a high-buck boutique wax because "nothing else looks like that!"). But I've also used the FK1000P on metallic black and it got lots of compliments (people coming up to me in parking lots to talk about it).
Eh, note that I'm kinda jumping all around here, saying both "use a sealant" and "use a wax". This stuff is just so subjective and you and I are different subjects
General truism- "it's all in the prep". So I can't help but wonder whether it'd benefit from a good Finishing Polish no matter what LSP you use. But I never liked the look of GG waxes and I've never seen a car look OK (IMO) with them so I do think you can come up with something you'll like better.
And BTW, I'd give it a regular wash from time to time; that's the *only* way I ever clean any of my vehicles, even the ones that only get driven a few times/year. Only way I can avoid (even very *VERY* light) marring, which detracts from the appearance. And IMO your current regimen isn't sufficient to get things clean enough for more applications of your LSP.