Again, speaking about dice. You can say "There are more than 1d6
than one d6
For example there are Fudge/FATE dice:https://www.evilhat.com/home/fate-dice/
They are pretty much dice with sides: 2 pluses , 2 minuses, and two zeroes. And you total results in pluses or minuses.
And then there are 0-5s, simply put 1d6-1, though they also make special dice for sale. Lots of systems use that as part of sub-rules, though I think some recent systems are based on that as well.
And then we have Shadowrun and their famous "bucket of dice" approaches.
And there are also some games that are based on 1d6-1d6 for a +5 to -5 range.
And then there's SilCore that works with d6 take highest + bumping.
There are probably way more of these stuff out there too. I'm just saying this for example though. I personally don't really have any feelings on what sort of mechanics you want to use meself, and if you've been with it for years you're more used to it likely to stick with it anyhow. v=3=v
Then again there are probably more ways to get the spread you want, and for other POVs those "might" be simpler to read, just saying... On the other hand, people who want to learn it, will. So more important stuffs would be the how
of getting people to do that. A packaging problem more than a mechanical one so to speak.
(Aside: The craziest dice I've seen was from a box set of some game in the 80s? I think it was a d16 with 5 zeros, some fractions, a couple of ones and stuffs?
Obviously that thing didn't sell too well...)