another idea would be to set the cat up with its litter box and food in a room and section that room off with a baby gate (you can cut a hole in the bottom of the gate that the cat can get in and out of). That way the cat can roam freely, but has an escape route if it needs one. That system has worked well for my dog and two cats.
And definitely start crate training. This a a good link
crate training. Tying down the dog is only going to frustrate him.