The "miner" submits a group of transactions, and an algorithm finds all the groups that don't intersect and they get "mined".  Miners get paid something small, for a seconds work.  As low and high fees will be guaranteed to be processed, it pays to have a mix of the two.  You get paid the same either way.
The idea is to get rid of miner pools and high fees and return it to the hands of the people.  Fast cheap transactions would get people using it.  Maybe no cap, so less of an investment.
Sure someone has had this idea already.