I'm sorry you guys are struggling through this right now.... It sounds like you and your husband are both feeling overwhelmed.....
I would suggest that you show him the empathy that you are craving--let him know that you know he's overwhelmed, and having 3 kids running around the house after a hard day is hard for him. Also let him know, in a non-judgemental way (using "I" instead of "you" -- "I feel stressed because I'm here with them all day" instead of "You never help me or give me time to take a break.") Use active listening skills to try to hear what he's saying. Let him know that you're concerned about him, and about the whole family -- non-judgementally.
Then, try to work on things that will can help. If he needs some quiet time in the house to unwind, suggest taking the kids to the park after dinner. Then on the weekend, hire a babysitter so the two of you can go out and talk and decompress. Consider doing "babysitting swapping" with another family or two, if hiring a babysitter is too tough. Ask at your church about that. A mother's helper for a few of hours every week would give you a break, and let you have some time to your self. A mother's helper watches the kids while you're present in the house (or yard), and sometimes helps with doing dishes or laundry or light cleaning. They are usually less expensive per hour than a babysitter (someone who watches the kids while you're not there). I would bet you could find a responsible middle schooler (13-14) or high schooler that could be a mother's helper, especially since it's summer.
We are in a somewhat similar but opposite boat. My DH stays home with our little one, working in the evenings, and I work full time during the day. I work very hard on the weekends & evenings to give him a break (DH needs his down-time, and has always need a lot of it, even before our kiddo came along). But I make sure to let him know that I need a break, too, and that on the weekend, I need a couple hours to myself for "me time." ... However, we weren't at the crisis point that you guys are at, before we got this (sort of) worked out so we could both do our own things/have some time off.
Also, to help him feel better--focus on the positive. Even if you don't feel like it. When he does even the smallest thing of help or kindness or appreciation for you, let him know that you appreciate it and that he's your "hero." You catch more flies with honey than with vinegar as the saying goes...