The businesses, corporations, partnerships, LLC's, sole proprietorships, what? (It's possible you do not know what form of organization the non customer uses. That's an issue all by itself.)
Note that signature guarantees are not all that common any more and the other bank might choose not to do it. (I might do it once, but not as an ongoing practice.) Accepting it without the guarantee would be too foolish to analyze; you would be guaranteeing both signatures.
Plan B would simply be to refuse to accept the item for deposit... I don't know why anyone would write a check to two different entities, but their answer to "Why?" wouldn't make any difference to me.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.