If he doesn't have a reasonable excuse why he is not able to come home for dinner every night, maybe he simply doesn't want to? Maybe it's almost more comfortable for him to not be at home? Is home a safe and fun place for both of you guys? Do you welcome him with affection when he returns? If he has nothing to look forward to coming home, why would be rush to be there?
(I'm not accusing anything - just some questions to ask yourself)

Your cold shouldering and lack of communication can make him feel like he isn't valued or cared for... Relationships are always a Give & Take. If you are thinking these thoughts, I'm sure he is too. From what I have seen in couples, they last longer when they talk and fight and make up than people who avoid each other.

Don't wait til it's late - I think you should take the higher road and initiation. If you aren't the type of person to make the first move like that, it'll be a pleasant surprise for him. I know it's difficult to be vulnerable and let your emotions out but loving someone means putting your everything on the line, not just enough so you won't get hurt. When you have nothing to lose, there will be no fear. & If your husband does not reciprocate, then at least you tried your best, you can move on. Give it your all for less regrets.

Like Ennie said - you two have a higher chance of making this work.
Relationships just take a lot of time, effort, energy and resources.
I know you guys will get through this rough patch