Why do you not like Briala?
This is my opinion as of right now, because I obviously have no in game knowledge.
Her stated goal at the end of TME is prolonging the civil war for elven benifit, chipping away at both sides and preventing either from achieving victory by attempting to hamstring whichever side Is winning until the situation is more favourable for the elves. Not only does her stated goal increase chaos and stand directly in opposition to th inquisition's only goal(closing the breach) but on a personal note, I believe it is the single worst way to try and improve elven rights in thedas. Because whichever Orlesian leader takes the throne, they will be aware that the eluvians are a threat(except the one on these forums

lol ) and that a group of elves is responsible for a large amount of their losses, which would lead to (IMO) huge crackdowns on the elves an even further discrimination and Halamshiral repeats all over Orlais.
Edit: plus even if the elves succeed in seizin a homeland or takin a city for themselves.......what could possibly happen besides military retaliation from the arguably strongest nation on thedas(exc Qunari)