I have the same pistol and mine shoots well. That said . . every pistol will shoot differently.
First of all . . . shooting a SA with a blade front sight and a groove . . . like all SA with such sights . . . takes practice. I have a number of SA revolvers . . . the Heritage 22, Uberti C & B, Remington C & B, Uberti 357 Bisley, Uberti 45 Colt and a 357 New Vaquero. I have had "learn" each pistol and how they shoot with the loads I load for them - i.e. bullet weight and grain charge.
On a 22 . . . ammo can be part of the problem as different brands shoot differently. Also, each cylinder chamber can shoot differently. Before doing much filing on the sights, I'd suggest a lot of practice and using different brands of ammo. A LR will shoot differently than a L or a Short out of it. Find a brand that shoots decent and stick with it if you can - then practice. You are going to get different POI to POA at different distances. Learn to use some Kentucky windage and adjusting your sight picture for elevation as well.
Are you shooting single handed or with two hands? Work on your hold. When I shoot my SAA revolvers, all I concentrate on is the target and front sight. At 25 yards with my Uberti 45 Colt, I know where it should hit with each different load I shoot. It just takes time to "learn" the revolver and practice. It's not like shooting a rifle with a long sight radius.
That's not to say that there couldn't be something wrong with your revolver. I once picked up an old H & R 22 "Sidekick" with a 6" barrel for a knock about gun on the farm. It didn't shoot worth a darn. The cylinder had 9 chambers IIRC, and each shot differently. It didn't make any difference if I was using shorts, longs or long rifles . . . it shot so low that I could plow with it. It quickly went back to where I got it and I got my Heritage RR.
Good luck and don't get discouraged with it . . . try different ammo and play with it a lot. If need be . . . start close to the target and then when you know where it hits, move back a little and go through the process again.
Lots of fellas who have the long barrel version - I think it is 6 1/2" barrel? - have no problems taking tree rats down with them. I haven't shot mine in quite a while as I parked all of my 22s when the ammo got scarce and the scalping began on the prices.
I've shot Single action revolvers for 50 + years and to be honest, I have some problems going to a revolver with nicer sights . . my S & W Combat Masterpiece (38 spl.) is a good example. It took me several long range sessions until I got used to the sights as opposed to when I starting shooting my old M & P Smith with the blade/top strap groove sights.
Hopefully it will all iron out for you. Good luck!