I wouldn’t be opposed to a cribber if the cribbing could for sure be controlled with a crib strap. Otherwise, odds are quite good that other horses will develop cribbing including the foal. IME, the foal is more likely than not to learn the good and bad habits of the dam which can be a difficult factor to breeding.
Sarcoids are caused by a virus but there is a genetic component to the susceptibility of sarcoids with horses. They can be a big issue if they occur where the tack sits and/or near the eyes or mouth. They can be very difficult to treat.
That said, if the intended foal were for the intent of selling, I think you would be up for some real challenges as cribbers are harder to sell and sarcoids can make a potential riding horse unridable (if for example, they are where the saddle sits or if they affect the eye, etc). They can cause a horse to “fail” a PPE.
If you are breeding for a competition/riding horse for yourself, you are also at risk for potential issues with your competition and riding career due to the potential issues with sarcoids.
Breeding is a big risk as it is, so when you add in these factors it really makes the situation challenging.
Personally, the more I’ve learned about breeding, the more I’ve learned that the absolute best quality mare is ideal. If you have doubts and aren’t totally crazy about the idea of having a carbon copy of said mare, it is usually best to pass.
I feel for you because I have had to pass on mares for various reasons myself but I will say that when you find the perfect mare, it makes breeding that much more rewarding and magical.