Spider Gap/High Pass Conditions

[SpeedyXC]

Just wondering if anyone had been up to Spider Gap or High Pass recently and could let me know what the conditions are like up there. I am leaving for a week long hike on Thursday and am trying to decide whether or not to bring crampons. I will bring an ax for sure. I will be crossing over Spider Gap and dropping into Lyman Lakes and then traversing from Buck Creek Pass over High Pass and down into the Napeequa Valley. Any info helps, even if you haven't been there recently but have been in the past. I have never hiked either of these routes before. From what I've read, it sounds like crampons are not necessary, but I'd hate to be unprepared. Thanks.