I lean back and let it run down while squeesing my nose sometimes to let it spread around my nose wall. It has a pipette dispenser... i like the pump one more although you will put to much then. Its quite runny so it will run down throat, and also when you lean back up it will run out of nose slightly.

I checked online a bit to find a product a bit more international. I found this on Amazon "Ponaris Nasal Emolient", i didnt try it but if you read the reviews its used for similar symptoms. Maybe start with this then switch to a "normal" sesam oil for nose like mentioned below.

Can also go to a local Pharmacy and ask for a nose oil, usualy they have ones with sesam oil, im sure they work also, for acute damage i whould try to find one that is in the upper price segment then switch to the cheaper one once you feel like your skin is healed again.