A no disqualification match can still end by countout (although this is rare); typically, a match must be declared a "no holds barred" match, a "street fight" or some other term, in order for both disqualifications and countouts to be waived.
In what case can a countout and disqualification be done away with entirely? 
must be declared a "no holds barred" match, a "street fight" or some other term