Croesus
Adventurer
So I've seen some discussion over the years of hit points, particularly as they relate to advancement.
...snip...
I'm suspecting someone has done this or something like it at some point- thoughts?
If I understand you correctly:
-Normal method: Rolls are rare (once per level), consequences are long-term.
-Alt methods mentioned: Rolls are more frequent, consequences are shorter-term.
The alternatives mentioned don't really remove the problem, they just trade probability (the more often you roll, the more likely you'll roll badly at some point) for duration (the more often you roll, the shorter period of time you have to live with the poor roll).
I prefer the suggestions others have made - receive average per level, reroll 1's and 2's, Con Mod as minimum, etc.