Sounds like it could be 2 different things going on.
I understand wanting more powerful/warmer pickups, and DMZ has a lot of choices, the Blaze Custom is a good choice, along with 5 or 6 others like the D-Sonic, TZ-7, or even the Air Norton 7 in the bridge with the PAF 7 in the neck.
But, the high overtone thing doesn't sound like it is a pickup issue, sounds more like the string hitting a fret(s) when it is vibrating. Does it happen every where on the fretboard or is it worse in certain spots? Does it happen on open striongs? Do you have your action super low? Maybe try raising it a hair and see if that helps.