Remington makes, or used to make, a load, and I believe that the product number is R44M4, or something like that...I do remember the last two digits were M4. It was a mid range load that made about 1100fps in a 6.5" barrel. I really liked it.
If that has been discontinued, I would stick with factory 44 mag loads of not more than a 240gr. bullet. Even these are a bit stiff for just plain plinking. Other than that, I think you almost have to go down to a 44 spl. load to get a mild load.
You really should consider reloading!