There's no patch but the suppositories are actually pretty good.
When DD was about 18 months old she had this god awful viral infection that affected her mouth and throat and she couldn't eat or drink properly for days. She was in lots of pain and wouldn't come at oral panadol at all.
The suppositories were easy - they're really tiny and you just pop a bit of lube on the end and in they go . She didn't even notice.
The worst part was bringing ourselves to do it but once we did it the first time it was fine
Hope you get some sleep soon poor little button