I thought it would be nice to have a dice mechanic for 5e’s character creation with an output more similar to the point buy system, since the default dice mechanic leads to overall higher stats. This could be a system with the same output range as point buy as well as one that still offers the possibility of rolling very high numbers (16-18) but with a higher probability to roll very low than 4d6 drop lowest.
Do you already know of such a dice mechanic? Or could you maybe provide a source for the probabilities of a stat having a certain number in the point buy system, so as to make it comparable to 4d6 drop lowest? The latter would give a starting point to play around with dice.run in order to create a system as desired.
I mean, realistically, it sounds like you're just asking for the older version of D&D stat rolling - roll 3d6. It results in a lower array, more centered around 12, but still has the chance for both low and high stats at much more rare odds.
Those graphs are from anydice. I'm not familiar with dice.run, but anydice has been around a long time (15+ years at this point) and is what most people i'm aware of use for comparing dice stats. It can be a little confusing to use, but its pretty good.