Sorry you are feeling poorly yourself......that all makes it harder.
I used to have to put ear drops in all the time for Lily....I don't know if this helps, but I had a pillow on the sofa...and I rested her head on in. Held her against the pillow to do one side, then reversed. It was just a support whilst I put the drops in. It was like someone supporting her head for me.
Good luck, and I hope you are feeling better soon. Xx