I've been waiting for weeks for one last collectible....

I've got an idea...
If I start a new village, I'll only pick up the rare collectibles (Ones that do not appear frequently) and then eventually finish the Collection with the "frequently" occuring ones. I wonder if that would make life easier than staring at the screen!
I've only be managing 3 villagers and I've noticed a few collectibles which occur VERY frequently. Has anyone tried this method??