Jen, is your business open every single day? If so, could you afford to have it closed one day a week? Perhaps not Tuesday necessarily however the least busiest day of the week? Not saying closure would be the general rule on that day, however if you mentally prepared yourself for the possibility of the business being closed on your husband's day to work, perhaps you could go socialize without feeling any worry or guilt?

Really Jen, one day a week is not much for him to be working, unless he is very ill. If he does not wish to hire someone, then he must go in, as that is your agreement. Yes he is ill, however you also have needs, and you deserve a day off without worry. I would not enable him by making certain he is up, and so on. You are not his mother. Place the responsibility squarely on him, and go enjoy yourself. If as a result the business is open late or not open at at all, it is his resposibility entirely as per your agreement. Let him suffer the consequences if he loses money on that day. If he needs to change the rules of the agreement in future that is acceptable, however he must compromise (by agreeing to hire someone, for example) and not expect you to be running the business constantly without any break.