It's a learning curve Craig. I tend to shoot my smallbores better than my 12's but you have to "attack" the target somewhat like shooting live birds. A 30 or 32" smallbore will help somewhat but here is my approach.
With a heavier 12 or 10 you have a built in follow through with the weight of the gun. With a smallbore it helps (at least for me) to place my leading hand at the end of the forend and force that hand to control the barrels. Don't mount the gun until you have locked on to the target then make your move to the target using more of a swing through method which will generate enough momentum to keep those light barrels where you need them. You really have to concentrate to swing through the target to keep those lovely, light barrels moving.
If you think about it, that's really how you would shoot let's say a big rooster in S. Dakota. The bird flushes, you locate it and lock your focus on his head then butt, beak, bang. Lucy... dead bird. Fetch it up!
The best game you could practice at is shooting some skeet with a low gun. Don't worry you'll figure it out. If not I'm always in the market for another smallbore.