These might be a bit beyond the 2 hour drive time.
Caples Creek/Silver Fork off of Silver Fork Road that you access via Highway 50 and turning onto at Kyburz. In addition to there being campgrounds along the road, there is also a possibility of a nice little loop hike connecting the two trails, there are ways to extend it, where if you had another person you could access Highway 88 and Thunder Mountain which you can extend to Blue Lakes...ok maybe a bit much for short jaunts, but as others have stated, there are a lot of trips to be had...
Cache Creek area is good for late fall through early spring.
East Carson River/High Trail just off of HIghway 4.
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