The answer is not a smaller guitar, but the practice required to get your hands a better state of muscle memory and flexibility.
The following video is small children playing large guitars. Note the they are using classical guitars.
https://www.youtube.com/watch?v=xnrmXgj4Q6U
You may consider having a set up done on your guitar. If the set up is not good, it make it harder to play.
Good luck and hope you get this problem straighten out..