Jed, No it sounds like you have a good record cleaner, but do try the record cleaning supplies I recommended when you need some. You are correct; you need a new cartridge now.
I don't know if the Nad pp-1 has mc input? I know the NAD pp-2 does.
When I was in the $300-$500 budget area, Gerry Raskin of the Needle Doctor recommended to me the Audio-Technica oc9. At that time I was using an Ortofon mc20 super, more money that the Audio-Technica oc9.
The now AT-OC9ML/II @ $290.00 should work well on your arm. ItÂ’s a super tracker and quiet in the grove (from my experience). I loved this cartridge, when it was first reviewed, the reviewer said do not be put off by this cartridges low purchase price because it is in a difference league.
After this cartridge I used a Benz glider, when they first came out. I was happier with the oc9. To be fair I also bought a pair of Martin-Logon Speakers (at the same time as the cartridge purchase) that were more revealing of faults in my system, so this has something to do with my assessment of the glider.
A good dealer should be able to assist you in getting a good alignment tool.
Ron
good