I think you are attacking the problem from the wrong angle.
Look at the fold to 3-bet stat of the villians left to act.
Assume that they will only continue with JJ+ AQs+ KQs AKo
Against that range you have 35% equity. So if your 3-bet represents less than 30% of your stack you are not committed and therefore not getting correct drawiong odds.
Since you will be essentaially bluffing
preflop your 3-bet will need to work about 70% of the time so a single player with a fold to 3-bet of 70% will work.
Two players would need a combined FT3B of 70% or about 85% each. 3 villians would each need a FT3B of about 90% and so on.
So you can 3-bet your 77 provided players are likely to fold. Then depending on stack sizes (you would need to be SS) you might be getting correct odds to call a shove.
The problem with looking at the proble the way you are is that you cannot just put your opponents on PP preflop so postflop you wont know if they have a lower PP or High cards that have connected.