While drinking liquids will help with the urniary track, what could happen is the stone can get stuck while traveling in the Ureter. If that happens and the stone can not move anymore on its own, the doctor will then have to decide how to get the stone out.
I had a stone that was too large to pass on its own so I had a procedure done called Lithrotripsy. Its a machine that has an arm on it with a liquid pouch. They place the pouch on your kidney or where the stone may be and send pulses through the liquid bag to break the stone into smaller pieces so that they can pass.
it is a non evasive procedure. They put me out for this and I did not feel a thing. You only have a little discomfort afterwards because of the shock waves pounding your kidney and you will urinate blood the first few times, but the most painful is actually passing the stone.
Heres more info. Ask your doctor if Lithrotripsy might be an option. heres a general site with stone info as well as different procedures to get rid of them.