I know the feeling of being very sad and lonely. I have it easier than you as I'm still at the house, but it is an empty house at times, even when we are both home.
I'm glad you were able to boost your spirits this morning. I also think you should pursue seeing if you cna get that drawbridge lowered and go play in the snow with your kids. You'd have a blast and so would they. Your W may also welcome the break as she was expecting them to head to school on their regular routine.
Remember, the worst thing the W can do is tell you "No" and you're in the same place as you are now. I don't see how it can hurt to ask, especially if you are prepared for rejection and are able to let it roll off your back if it comes.
Go for it and make yourself happy today, regardless of her answer.
I'm wishing you luck and sending you whatever positive vibes I can muster.