Peters Mill Run and Taskers Gap are short but fun, unfortunately they are both closed till April. Flagpole (Harrisonburg, VA) seems to be the only place open. I have not been personally (trying to plan a trip within the next few weeks) but I have heard good things about it. There are a lot of trails that split off the main trail that will give you plenty of time to play =) Also, from what I understand, it is possible for a stock vehicle to make it up, but you will need to be careful and have a spotter in a few areas. If you have a modified vehicle there are parts of the trail that you can choose a more advanced route.
There are a few people planning to go up Flagpole on 2/16, if you are interested in joining just let me know. Hope this helps.