RGB LED modules come in a variety of form factors. See Different Styles of Pixels - doityourselfchristmas.com
Maybe the 12mm bullet or the 8mm one would work. Either way you’ll have a bunch or wires to connect. A neopixel ring would be a nice tidy single piece.
I still have one or two party cat kits left if you’re interested. See ESP8266 WS2812 "Partycat" controller