I hope you don't feel like you have to suffer. Your husband's job comes secondary to your well being. It sounds like he is looking, but it didn't come across that he was looking into other, more immediate solutions to ensure your health and well being.

You can't make a baby easier. They come out the way they are. You can ensure there are no health issues, but some babies are fussy and need constant comfort and don't sleep...for months, or for years. All you can do is figure out how to cope.

I worked full time as did my husband, and yes, you can work with less sleep. You make do being woken up 2-3 times a night, and you sacrifice 'dinnertime' and interacting with your spouse to sleep in shifts and take care of baby duty. Even if he's only home for 10 hours, 5 hours of sleep is doable. That gives you 5 hours of time to sleep, and for him to bond with the baby.

One of the hardest things to learn as a mother is how important it is to put yourself first. And EVERY new dad should know to advocate for this too. Just because one of you works and the other doesn't does not mean that you don't share the burden of the child you have together. He's going to need to suffer a little too to take some weight off your shoulders, and give you the space to take care of yourself.