The Model1895 Nagant revolver will shoot any of the following ammo safely and without blowing a ton of anything out of the gap between the cylinder and barrel: 7.62X38R(Nagant), .32 S&W Longs and .32 H&R Magnums. I regularly shoot all 3 of those calibers from both of my Nagants, there is a more pronounced smoke screen from the cylinder/barrel gap with anything but the correct 7.62 Nagant ammo
I do have a question about using the .32 H&R in nagants. I would like to use it in mine, but due to its much higher pressure I have been relutant to try it. I have no idea what pressure the nagant were designed to handle and I also do not know what pressures are developed by the .32 H&R Magnum. The fact that nothing bad has happened is not definative proof that each and every nagant will survived such usage.
You might try wrapping your rounds in thin paper if case bulging is a problem.