For some patients the laser has little to offer. In suitable cases it may be possible to excise individual scars, leaving a small flat superfical scar compared to a deep ice pick scar. Provided you heal well, it is more easily covered with makeup. If you then go ahead with laser resurfacing, the results may well be better.
The following image is a before and after picture of a patient with ice pick acne scars treated by narrow margin individual scar excision done in two sessions. The second photograph is taken 12 months after the last surgical procedure: