My female maltese does mark, she is an Alpha which is bad because I have a male dog who is an Alpha as well (and he is neutered). My yorkie girl on the other hand is laid back and doesn't care about anything as long as she's taken care off.
I will probably go with the female and keep her in a playpen when your not watching so she won't have accident or mark everywhere. Good luck, oh and I used to have a male who wouldn't raise his leg to pee he pee like the girls