You could try Zyrtec. It's over the counter now. The allergist prescribed it for my granddaughter 2-3 years ago. I've heard that there is a children's strength available also. If you haven't used the Loratadine for at least 1-2 weeks it may still work. It does take awhile for our bodies to adjust to this sort of med.
If that doesn't work I'd recommend that you take her to an allergist. Yes, an allergist can prescribe different meds and has a greater understanding of allergies. My granddaughter goes to James Baker, M.D. who has a new office in NW Portland. He also has an office in Lake Oswego. He was recommended by several people including the school nurse.It is a bit far to go and there may be a pediatric allergist in Gresham area. Baker isn't listed as a pediatric specialist in the phone book but he does work with a great many kids.
I don't understand why your doctor wouldn't test her. Is he a pediatrician? My granddaughter has allergies, eczema, and asthma. Perhaps that is why her pediatrician tested her before she was a year old.
My granddaughter doesn't like the Nasonex either. We don't try to force her to take it but when she is uncomfortable enough she does sometimes. When she was a toddler we just lay her down or held her, facing forward against our body, and quickly squirted it in. The faster you can do it the more likely that it will work.
A doctor can also prescribe drops for the eyes. I've used them. They do work better than over the counter drops. My doctor also says if I use OTC drops to be sure not to use the ones that say they "get the red out." I don't remember why now. The plain drops do work better for me than the "get the red out" ones do.
My granddaughter was first prescribed Singulair which is an antihistmine but it works in a different way than other anti-histamines. She started taking that when she was 3. Her asthma was out of control and that might be why she took it. Then last summer her allergy symptoms increased and the allergist added Zyrtec and the nasal spray. Again this summer she is having more difficulty with allergies and he increased the dosage of Zyrtec. He said that if her eyes continued to itch and swell to bring her in so that he can try something different. Fortunately her nose isn't congested anymore. Most likely because of the Zyrtec.
What is of the most help to me is the original Sudafed. It clears my blocked passages. I don't know if it would be appropriate for a child.