Lets see, let me just get out my big OCD list of the shinies I have...
Dragonite, buizel, haxorus, cleffa, shuppet, porygon-z, latios, kyogre, regirock, bibarel, pupitar, smeargle, flygon, gorebyss, eevee, emboar, charizard, rotom, starmie, zoroark, latias, hippowdon, pichu, suicune, entei, raikou, nidoking, feraligatr, and swinub...
I'm pretty sure I'd be fine. Probably one of the best trainers in the land, given by the fact that I'd have so many more over most other trainers.