I don't think closing the door on a chain will work, as the hinge side of the door will be in contact with the frame, so unless you don't paint it at all, there will be a problem drying that side too.
I would take the paint back to the shop and exchange it for something that dries in the course of four to six hours, so you can lock up the house at night.
Unfortunately, even in the daytime you might well get thieves walking in, or hubby wandering off. Have you a friend who would come in for the day, so you are two responsible adults to keep an eye on unwanted visitors and hubby's whereabouts?
I wouldn't leave any of our doors open all night, unless we had a competent dog, which we don't right now.