I can say I used to use the celite vacuum filtration. I used extra solvent so I wouldn't get precipitation during the cooling of vacuum filtration. Evaporate (or add water) to approach saturation again. If amorphous precipitate, repeat charcoal.
Strategy two, not a fan. Charcoal-methanol absorbs/removes the least polar materials. If you use a non-polar solvent, charcoal will be less effective (ineffective?). If your impurity runs faster than your product, the charcoal-methanol. If slower, then silica-methylene chloride. Use similar treatments.