Create transaction type that prevents cash application

Is there any way to create a transaction type for an Invoice that is Open Receivable = Yes but does not allow any cash to be applied to the invoice? We want to allow credit memo application only. Ideally the invoice should not show as available in the receipt application form.

The only way so far I've got it to work is with Open Receivable = No but unfortunately this won't work for us as we need the invoices on reports and open balances.

Any ideas?