There are two simple ways to accomplish this. Either assign these vandors to a different control account or assign the to a different Report Group. The System Check Run can be done either for a specific Control account or Report Group.

BTW - Typing all in CAPS is equivalent to shouting in a posting. Hopefully this isn't that big a deal! You are aware that if you "Reverse" instead of "Void" a check, all the necessary gl entries are made, and the invoice is re-instated on the Vendor's account.