My friend had a alsation/labrador x greyhound it was much too big and heavy for all but fox and deer, before the ban. I never see any of his litter mates though.
He crossed it with his whippet/greyhound and i had one of the pups, she was a very fast and smart dog, very easy to train.
I think you could be taking a chance with that cross mate, could end up with someting very cloddy.
I'll attach a picture of my old bitch.