we can't use a Reg CC exception hold at the time we resubmit the check to the paying bank a second time?
So, you're saying that since the check was cashed rather than deposited the first time it was presented to you that it should not be classified as "redposited" the second time it was presented to you?
That's taking the "redeposited" adjective a bit more literally than I would. From my perspective, if a check has been presented for payment and returned for a reason other than "endorsement missing" or "post dated" the exception hold is available to you when the customer deposits the item. The inherent risks to your bank now are exactly the same as if it had been deposited the first time.
Can we place a non-CC hold on the account balance to cover the amount the customer owes us from the cashed check?
As for putting a hold on the customer's account now that the check has been returned, you might be able to, but it will not have anything to do with Regulation CC. My preference would be that you evaluate your "right of offset" under both state law and your account contract and consider simply debiting the account for the amount of the check.
I read this as two unrelated questions. Without all the verbiage, my answer to the first was you are entitled to an exception hold as if this was a redeposited check. To me, the second question read as if the item had not been charged back to the account and you wanted to put a hold on it instead.