Firstly I don't think that the oaths make a promise binding. What they do is to make sure that when the promice is being made the Aes Sedai making it believes she will keep the promice. She can always change her mind.

Seconldy you seem to be suggesting Redqueen that Elaida should take one for the team and sacrafice herself to keep traveling out of the hands of the Seanchan and if possible take out a few of them with her. With another Aes Sedai that would be quite reasonable but in Elaida's eyes she is the team. What is good for her is good for the Tower.

Lastly I doubt if Elaida is fully broken yet, her outburst certainly suggest that she has a bit to go but Elaida is the very epitamy of hard versus strong. Elaida is hard and hence very fragile as opposed to strong. Take away all her authority, put her in a position where even the lowest servant does not give a damn about her opinion on anything and I could see her starting to crack very easily.