3 already? wow! Congratz!! ^w^
What are the other 2 shinies? XD
You can SR Latias for a later badge.

hmm, for my shiny quest I caught these: Treecko(starter)-Poocheyena-Torkoal-Feebas- Beldum (the event one) and my shiny Reshiram. I had a regular Latios till I caught Reshi. Maybe you wanna try hunting one of these Pokemons? Feebas is easy to get with chain fishing.
I'm trying my best for Lexi too.