The Remington 120 gr factory ammunition is made by Barnes, with their own Open Tip Flat Base bullet (not available as a component, darn it!). They shoot very nicely from an 8" barrel, and you're right, they're affordable range ammo.
147gr "plinking rounds" are made with surplus/pulled/whatever 147gr (or 150 gr) FMJs, because they are plentiful and cheap. These bullets are definitely "bulk" quality, and you get what you pay for with them.
When you decide to go subsonic, you'll want heavy bullets, typically 200+gr bullets. There are a lot of commercial choices for subs as well as supers, but most are a lot more expensive per round than the Remington you got. Handloading really is the only way to feed a 300 Blackout habit. The good thing about it is that, unless you plan on doing mag dumps a lot, you can get started handloading for a fairly small cash outlay. Check out the
Reloading Forum for plenty of great information and guidance. The FAQs there include how to get started, what you'll need, and how not do go broke getting there.