Just posting an update on the LED tail lights situation, and my apologies for anyone that was waiting for my response.
I ended up going the resistor route instead of the capacitor route, and its been months now of no issues! Each led has its own resistor, and they are working great with no flickering, and no random bulb out messages or errors. I went with Philips 21W resistors, and found some brackets to mount them on, and they've been working great! Below is a link for the resistors.
https://www.amazon.com/PHILIPS-warni.../dp/B074P362V4
I'll maybe look at upgrading to an LCM4 for more functionality control for coding PWM and whatnot, but I'm satisfied with this solution for now.