I did "tarping" as a younger hunter back in the '70s. It was tolerable - but just.
As stated earlier here I use a Tarptent Moment DW (Double Wall) with a longitudinal optional CrossingPole run lengthwise under the tarp, not over it as originally designed. This handles any snow load and wind very well. As well this solo tent averages about 10 F. higher interior temperature than the outside temp.
I may even use my very similar Tarptent NotchLi (Dyneema "fabric") ultra light tent. It's half the weight of the Moment DW and a very similar design but held up by my carbon fiber hiking poles/shooting sticks instead of a hoop-shaped aluminum pole, saving even more weight. It can withstand snow when properly guyed out. Hey, I'm a geezer and need to keep carried weight low.