HI - I'm Dr. Lewis and I would be happy to answer your question.
You are right , your eye condition does not sound like pink eye, but it could be early in the infection. If the eye gets itchier,more crusty, more red or swollen or it spreads to the other eye then it probably is pink eye.
If it is irritation or allergy there is a home remedy you can use. Go to the pharmacy and buy a generic eye wash, like Bausch and Lomb - it says eye wash and comes with an eye cup. Since you have a hard time putting in drops, using the cup will make things easier.
Pour the solution into the eye cup and tilt your head forward onto the cup with your eye closed. Then tilt your head back and open your eye. Move your eye looking left and right to flush the eye completely. Keep as tight a seal as possible around the eye. Flush for about a minute and then discard the solution. Clean the cup thoroughly in between use.
I would recommend you do this three or four times a day until your symptoms feel better. If your vision worsens at any time however, it would be necessary to see an eye doc.
I hope this answers your question.
Thanks so much! Will buy it today! Thank you, XXXXX XXXXX!