My suggestion, go back to incandescants. I went down this road already, there is nothing you can do to make it work. I had LEDs in my tail lights with the correct flasher and nothing ever worked right. When one side blinker was on the other one would blink too. The hazards never worked all I got was a buzzing from the flasher. I even tried those resistors that are suppose to "fix all known problems when switching to LEDs". I even went as far as switch all my lights to LED's thinking it had something to do with having half and half. Ironically when I got fed up with the whole LED thing and started switching everything back to stock I noticed my incandescants were actually brighter than the LED's anyway, which was the reason I originally wanted LEDs. LED's might be cool on the older TJs but Jeep did something to the newer ones to make it where they just plain wont work.
btw, the fuse for the blinkers is behind the glove box, the fuse for the hazards are under the hood. I forget which one but its a 20amp fuse. Also, yes 2004 calls for a EP-27, you can have one of the 3 I tried if you want they're sitting here right next to me. I also tried EP-26 for ****s and grins, that got me no where too.
2004 Wrangler X 4.0
2000 Cherokee Sport 4.0
1992 Dakota Sport 5.9
1971 Pontiac Firebird