Apart from cheques please consider EFT and pre authorized debits for bank accounts. Example 3rd party payroll payments are not cheques as these are direct withdrawls form the bank account by the payroll provider. Similarly some vendors arrangements have similar direct bank withdrawls like bill payments etc. using adjustments/journal entries is not proper accounting and is a control issue. Cash is a real account and not a nominal account.
Have you considered entering the EFT and Direct Withdrawals as non-payments/bank drafts within the AP module? We recently started to do this and it illuminates the need for a journal entry.