LongShot, Unique, or Universal is what you are looking for.
Also, you will need a chronograph. Under $100.
I don't use 300gr XTP as I have no need. I do however cast, and shoot my S&W 625 Mountain Gun and Winchester M1894 "Legacy" XTR w/24" bbl.
With 8.2gr of Universal under a Lee 255gr RFN I get 1,050fps from the rifle. It's no louder than a .22 subsonic (though like a deep voiced .22) and bullets striking an armadillo is louder than muzzle blast. This load is an "accuracy" load and is just barely above Colt S/A safe pressure.
The M1894 is VERY accurate with a Hornady 250XTP over 20.0gr of #2400, but is running 1,700fps. Not exactly quiet however. I have loaded 18.5gr #2400 under a 300gr Lee FNGC, for 1,500fps, but that doesn't help you. At subsonic speeds, the "slow burners" such as #2400, #9, H110/296, and LilGun won't burn efficiently.
Remember, your Rossi is somewhat stronger than a Colt S/A which is the standard for published data. I personally think that LongShot will likely give you near transonic velocities. Hodgdon published data (Ruger/TC data) shows a 300gr Speer JFN from a 7.5"bbl with 11.2gr LongShot giving 1,005fps. Max is 12.5 for 1,136 which is well above supersonic. Too fast for your purposes. But it gives you the picture of how much leeway you have.
I load 9.2gr under a 270gr RCBS SWC for my 625, and it burns very cleanly. I load 11.2 to make the Wyoming minimum, but is excessive for any practical use. 9.2 burns very cleanly and is profoundly accurate. SD under 10.
If you have some Titegroup, they show 7.5gr for 851fps and max 9.0 for 1,004 at 28,500. For me, that is a little too close to the edge, and is such a small charge, a double charge might go unnoticed until the trigger is pulled.NOT GOOD!!!