Personally i do 500 resets a day, and i know for a fact that some people do more.
Soft resetting for a pokemon can be boring, but you can do so much more while you're doing it, watching tv, talking to your friends etc etc, thats how i found mine.
Regigigas:Talking to friends
Rayquaza:Talking to my aunt and my sister
Torchic:watching the simpsons while talking to my brother
Regirock:Talking to my friend again
Registeel:Watching tv
just remember to have the sound up when your doing it and you should be fine, rapid whaleord you shouldn't have given up on palkia after only 1786 resets, if you had to take a break you should have just saved the game and not played it for a while, palkia is too much of a kickass shiny to give up on.