I ran out of tyres for my pilot boat the other week and ordered another 10 from cornwall model boats thinking they were the same caldercraft ones. I got a pack of different ones this time, weathered, soft rubber with beautiful tyre tread! After splitting up my others, and using these new "more realistic" ones -I then found another 3 packs of the original slightly shiny ones "what I always find usual ones" in my spares box! Typical!!!
...One thing I would say though is if you have that slightly shiny type about 25-35mm diameter, I don't think paint works. Sure I've tried it before and oil based paint ends up perpetually soft after! I've still had sticky paint for 4/5 years after.
If it were me, I'd get a dark grey - rough, scotchbrite pad and thouroughy abrade each tyre. It would probably only take a few mins each tyre. It should have the desired effect. You should be able to get scotchbrite from somewhere on-line if you can't get to a local industrial counter. They're about 20p each or summit.
Rich