Do we have a future together? Is there hope for us?

First of all, you are a human being, not a human doing. He is too. You both need to take time to be, individually and together. I am not saying you don't do things together, but he is avoiding the being part, in order to distract himself. That is hurting himself, you, and the identity God is building that includes the best parts of both of you. Ask him how he feels. See how he responds. If he responds intellectually, he is wrapped up so much in his mind that he isn't taking time to feel. Feeling is important and he needs to process the hurt he is experiencing, whether it is betrayal or whatever. This is a coping mechanism he has developed in the past and it works for him, but that doesn't mean it is healthy.
Talk to him about setting aside some time for you, and time for himself. If he takes Saturday morning for himself and gives you Saturday night, then he can look forward to blowing off steam on Saturday and you can look forward to being together Saturday night, each week. Having a designated time to be together is a great way to let your partner know you are important and that you care enough to invest time in them on a regular basis. This is something both of you could practice and carry into marriage.
Also, talk to him about sharing what is going on. Let him know you care enough to listen and help him process what is going on. You don't have to have the answers. Just listen, earn his trust by not judging (visualizing what he says may help here), or cutting him off. Prayerfully listen and let God fill in the blanks, then tentatively seek confirmation of whatever comes to mind. Both God and the enemy of your soul will be trying to guide you. The enemy is known as the accuser and tries to equate people to their behaviors. God always differentiates between the person (loving and affirming you) and the behavior (even while confronting something He doesn't like). For instance, the enemy will say "he's a liar," while God will say "I love him, but there is something there he's not sharing, and there's a reason behind his not sharing it. Let's go after the reason," or not, if he isn't ready to go there yet.
Be patient with him, but he probably is following the example of a man who wasn't able to let his wife be their partnet in life, erroneously thinking he is saving you the pain of what he is going through. God didn't make man and woman to live in separate worlds. He made us to compliment, share, encourage, listen to, and invest in, each other. Only when we are willing to do so, can we become one, in spirit, mind and soul, as well as body. As I've written elsewhere, the physical aspect of a relationship is less than 20% of a healthy, long term, relationship. Mental and emotional aspects make up around 50% and the spiritual aspect makes up at least 30%. He has to learn to trust you to be strong enough to help him bear the burden, and vice versa. Yes, what parts he needs to share are negotaiable, but they are necessary