Some of below might be incorrect, but is how I think of things:
Stability of a bullet in flight is about how much RPM does it have - how fast (or slow) is it spinning. A LONGER (not necessarily HEAVIER) bullet will need to spin faster to stay pointy end first. OP, you probably want to "slug your bore" to find out what your groove to groove dimensions are - that is normally done with soft lead and then measured.
The business of rotating - that is the purpose of the rifling - it is supposed to engrave into the bullet jacket / bullet "skin" and cause that bullet to "spin". when it is in the barrel. It will have that "spin" as it emerges from the muzzle. Not much to act on the bullet to slow down that spin rate during the bullet "time of flight". The business of the bullet's VELOCITY - that is a function of the powder load - for some combinations, the lack of stability can be remedied by increasing muzzle velocity - that makes the bullet spin faster - but one can run into high pressure signs doing that. The flat based bullets will probably "obturate" and swell up to be tight in the grooves - that ensures rotation and velocity - typically that works well. Boat tail bullets typically will not "obturate" as well as flat base bullets.
Hence, if you have slugged your bore and found "groove-to-groove" size to be oversized from "normal", then probably flat based bullets work best. Look up Hornady reference information - those 174 grain Round Nose are probably 0.312" diameter - their 174 grain FMJ Boat Tail are probably 0.3105" diameter.
Your cast loads - what sort of velocity do you get? - I see Lyman manual lists several loads for 314299 bullet, but they used a SMLE with 0.313" groove-to-groove (page 276/277 of Lyman 50th). They show various velocities with 200 grain 314299 cast bullets from 1549 fps to 1946 fps - a "best load" is identified by Lyman - it is showing 1561 fps. With 1-10" twist in their test barrel, that bullet will have about 78,050 RPM as it emerges from their muzzle.