I always soak my ears with Polysporin Ear drops or equivalent. Lay on your side watching TV with a pillow. Fill the ear that is up with the drops. Turn over in 15 to 30 minutes and do the other ear. You can do this as many times a day as you can - at least twice each ear per day.
Keep taking the antibiotic pills, you need them too. You will probably need a double dose of a strong narcotic painkiller. The one they gave me had me spinning and vomiting, but it finally worked and I could not feel my whole head.
Re. antibiotic eardrops
I found they work because the antibiotic soaks into the small blood vessels in your ear and kind of spreads around the area, killing infection. If you catch things early they are all you need. In your case you need the pills too.
There is nothing more painful than what you have, including an abscessed tooth.
Well a sinus infection will hurt more - and you will get that too without the antibiotic pills.