OP
Regarding the going for a walk, are you linked to a local facebook group? If you are going for a walk you could arrange for a group to meet up.
Otherwise I think spending time alone when you don't want to is about making it your time, to do exactly what you want (within limits of being with a child) Wat is your favorite food? It doesn't matter if it is shepherd's pie or a take away, don't bother trying to recreate a turkey dinner just have exactly what you want.
Find five things you don't normally have time to do, it could be a craft, a film you want to see, a cake you have never had the time to make.
Plan each day in terms of food, drink, TV, activities.
At least one day dress up and have a candlelit dinner. Another make a play list and get some flashing lights and have a proper old fashioned disco, another watch something on a chanel you wouldn't normally ever watch, I discovered 'Carmen' doing this, and that was the days of 4 channels.
How old is you dd? Id she is old enough then she can pic things for one day.
Do a wine or gin tasting - you can get small bottles, or if you don't drink a tea tasting.
Buy 5things for yourself from amazon but don't open them, wait for your 5 days and open one a day.
You can never recreate a family Xmas on your own but you can have fun.