The Chex Systems, Inc. network is comprised of member Financial Institutions that regularly contribute information on mishandled checking and savings accounts to a central location. ChexSystems shares this information among member institutions to help them assess the risk of opening new accounts. ChexSystems only shares information with the member institutions and does not decide on new account openings.
You really should check with the vendor before you take this step. Per the above, their data base does not incorporate this type of information. If they take it and unknowingly report it as being related to checking accounts it may come back to you as a problem.
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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.