Snapchat without Google play services? +other problems
you should download the old version of snapchat, this doesn't require play service. 
link: https://snapchat.en.uptodown.com/android/download/46825
you should sign in or sign up and after, update it. and it will work perfect. you can also try this with some apps that requires google play service. just download the first version on Uptodown store and update it after.