If the NOTAM admin system would allow the person entering the NOTAM to rank or rate it, that would solve some of the problem. One could enter a NOTAM into the system and rank it between 1 being super-critical(runway xx fouled, closed to all traffic UFN) down to 10(4ft shrub 135M from threshold). It would give pilots an instant way to filter the info based on the person entering the data from the start.
Of course, it's up to the person entering the data not to fudge it and consider every NOTAM they enter as a 1. With that case, then using a designated NOTAM reviewer from the airline(s), and possibly from a group of mil and corp pilots could then squawk any NOTAM that was mis-ranked as a 1 for the proverbial shrub and have it moved to a ranking of 10.
Also, for a temp NOTAM, do not allow them to be re-issued repeatedly for the same squawk condition. Require that it must go over the wall to a perm NOTAM and meet the requirements for a Perm NOTAM. That would remove at least 10% maybe more of the chaff.