I don't know any coins that operate without either Proof-of-work or Proof-of-Stake. To make your ideal a reality someone would have to invent a new way to power a block chain, unless I missed a coin that quietly implemented a new system without many people noticing.
I have such technology under development.
so you wanna be funded?
you may wanna just join a team instead and with their existing coin if possible, you wouldn't need more funds but just an update to the coin. and you still have the legacy still.
Well this thread is not supposed to be just about my plans, instead in general.
In general, joining any existing coin would take on all their already flawed distribution (ICOs and deceptions) or lack of developer funding (e.g. fair launch proof-of-work).
Besides, who ever solves these ideals has achieved the Holy Grail of block chains, and can expect to raise a lot of funds on their own. If that were not the case, then there is no hope for block chains to ever achieve the ideals we originally had.