I probably don't have much to say besides be aware of changing conditions as snow melts... Run offs and streams can open up holes in/under the snow that are hazardous if you aren't looking for them. I'm still fairly new to Backcountry and on the East coast so no expert.

I'd also add the additional hazard of undermined snow and crevasses...

Especially in the late season with the snow melt this can lead to some real sketchy situations like this video: https://m.youtube.com/watch?v=KuZulaVTcM8

I recommend checking out the Granite Backcountry Alliance: https://granitebackcountryalliance.org Volunteers maintain parking and trails in low angle glades throughout New Hampshire and maps and info are provided on the website.

Gives some great options for when conditions don't permit going up to Tuckerman's Ravine.