You know, given the time and cost, you might consider a 7.62 can with a changeable end cap for .223 caliber, such as with the Silencerco Omega. I would give you versatility to use the can on other rifles from 300/308 on down (not rimfires). You could change the end cap for somewhat better noise suppression when using .223. It would not be quite as good as a full .223 suppressor, but you probably would not notice much of a difference.
Such a setup would cost you more to have the accessories to go between rifles, but it would be much less than buying multiple suppressors.
I don't even bother with the smaller end cap when I switch between calibers.
I am suggesting this because once you experience the benefit of suppression, you will likely want it on other guns. If you go with the .223 size, you can't go up in caliber, but you can use smaller calibers in a 308 can, hence being more versatile for you, not just for now, but in the future. So if you are going to buy only one can, maybe ever, get one that will do more for you. Just a thought.