I free floated my model 7 6mm Rem and it made a huge difference. Mine has an 18" pencil barrel. It was shooting 3-4" at 100 yards with all ammos, even with reloads. I then free floated the barrel and it will sometimes do 1" at 100 yards.
I am not saying you should free float yours. I would try at least 6 different ammos before trying it. If all 6 shoot bad, I doubt free floating will make it worse. If it will shoot 1-2", then that may be all she will do.
”If you want to find out what is wrong with your country, go look in the mirror.” Ross Perot