He likes physical touch eg massage / cuddles and kissing just not sexual relationship. He would not agree to an open relationship... He doesn’t like toys.
Fuck that. I'd be out like a shot.
If your partner is both unable/unwilling to satisfy your sexual needs and refuses to contemplate any other way for you to satisfy your sexual needs without them being present, then that relationship is completely doomed.
At some point in the dim and distant future, you are either going to have an affair, and be miserable, or you're going to not have an affair, and be miserable in a slightly different way.
There is no happy ending here.
I came onto the thread hoping that the asexual partner would be willing to let their partner have a fuck buddy, because in that case it's possible that it just might be viable, but nope, not in this case.
He doesn't want sex
You do want sex
If nobody is willing to compromise then there's absolutely no way to make this work. It's the same as if he wanted children and you didn't, or he wanted to be a vegetarian household and you didn't. There's a fundamental divide here that's insurmountable.