That acetic acid is very hydrophilic. I would not think to do what you mentioned. I would react the solution or rather adjust the pH with NaOH to give Sodium acetate then evaporate some of the water and try to crystalize it out of solution. Does this help?
Solubility of Sodium Acetate: 76 gm/100mls water at 0C
Solubility of Sodium Acetate: 76 gm/100mls water at 0C