Most advice I've gotten has been flash a custom Android kernel or a de-Googled distro. This would definitely solve my problems, but this removes the ability to install Play Store apps which are a necessity for me. Not to mention that it gives the possibility of bricking my phone, which is way outside my risk tolerance for just getting rid of some annoying ads.
In case you do want to install a custom Android distribution (ROM) to clean out the Samsung bloat more thoroughly, the risk of hard-bricking your phone is almost non-existent nowadays. The worst that can happen is usually a soft-brick which can be fixed by reinstalling the original OS. As for Play Store, most custom ROMs either include or support installing Google services and Play Store with full functionality.
(disclaimer: I work on custom kernels and ROMs)