Ive had a 944 series as a daily driver up until last year. Both my 944 and 951 have had snow tires on them at one point or another.
Snow tires are an absolute must if you want to get around. The car does reasonably well though ground clearance is the biggest issue really. If its really hilly by you it may be trouble some to get the car going uphill (ive had a few moments where the car literally was sliding sideways rather than going up!) with the likely lack of a limited slip on your car.
Even with a good set of snows i have had my share of white knuckle and pucker moments. Just know the car has its inherent limits and if you think its too bad out, it probably is. I can remember one particular time i drove home my 951 home from school in some very heavy snow (with good snow tires!) and i still wonder how i did not end up wrecking it that day.
I am just happy i have a Jeep Cherokee now with 30x9.5 all terrains
.