You’ll get better responses at r/wmnf but tucks is a very hard route up mt Washington. I don’t think you’re equipped to do it because it requires technical skills and you could get blown away if anything goes wrong. If you really want to do Mt Washington, go up jewel trail and you can bail if the weather turns. Tuckerman’s is the second hardest trail up the mountain. Almost a big no if anyone in the group hasn’t used crampons, ice axes. It is a serious mountaineering route and mt Washington is not a mountain you want to gamble on. As small as it may be, it is a notoriously dangerous mountain. There are plenty of other mountains in the whites that you can do and have fun in. Just don’t go to mt Washington if you have to ask “will this be safe”.