You may want to try some "target" wadcutter .38 spl. load in your gun. They are not easy to find around here cause Wally World doesn't sell hem and their are no gunshops within 60 miles.
The ammo can be identified by having no bullet sticking out of the case. It is a reduced load and has less recoil. I am unsure if there is any other jacketed bullet load with a reduced charge that would do the same thing. And the factory wadcutters are about as expensive as the jacketed hoow points unless you reload them like I do. I use hand cast and sized wacutter bullets and reduced charges for .38 spl. loads that the wife and kids practice with. The lighter guns like my old Colt .38 spl. Cobra lightweight can have pretty vicious recoil with most of the jacketed ammo put out now except fo the reduced, fast expanding loads for short barreled guns. But, those can be expensive to practice with too. So I handload alot ot them and they are extremely accurate at ranges out to 20 yds. in most snubbie revos.
Anywyay, here is a description of the wadcutter in .32 caliber. Normally the rounds are used in only revolvers and a few specialty target auto pistols cause of the feeding problems in autos. Obviously the sharp corners do not feed well in auto pistols.
The ammo can usually be obtained at major gunshops, gun shows, and probably off the web dealeres. I could not advise you on the web dealers cause I buy nothing off the internet sites. If I buy any new ammo, it is usually at gunshows.