Given your snow depth, my first choice would be a snow cave, although time and terrain could be an issue.  A quinze could be considered, as well.
Your question is a bit general.  You specify "good gear," which to my mind would very likely include a tent; it most certainly would contain an adequate shovel.  Even without a tent, certainly a bivvy sack would be there.  Doubtless there is a stove as well.  My second choice would be to deploy the bivvy sacks in a sheltered location, perhaps build a wind wall and try and provide overhead protection; otherwise periodically dig out from under the snow.
Are we talking mountainous or flat terrain?  Are avalanches an issue??
What would be the differences between a shelter for SAR workers vs a stranded day hiker (other than size, most likely)?  I'm just curious.....
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Geezer in Chief