The pick noise is usually between the 5-7K range. Follow what SS454 said and dial in the frequency of the pick noise and then cut it.
This is easily done with a parametric EQ. Narrow the Q as much as possible, do a sweep between 5-7K, find where the pick noise is most annoying, then cut at that frequency. If you need to widen the Q a bit, then do so. However, as you widen, it will remove some of the presence of the guitar. A narrow band cut will usually not impact the overall sound.
Frankly, I don't believe getting the player to lose the pick is the answer on the style of song you are refering to.
Hope this helps.