>>> there are NO allergy tests for food
That's odd then, Sqad, because I know of lots of people who've had skin-prick testing, as described here:
http://www.nhs.uk/Conditions/food-allergy/Pages/diagnosis.aspx
However, since food allergies and food intolerance are completely different things, those sort of tests would clearly be inappropriate for Tiggerblue10 (even though it appears that what she's been offered by a commercial company may well be something very similar).
Whether elimination trials can really be regarded as a 'test' is purely a matter of semantics. You say it's the only way forward, I agree and so does the NHS website, so I can't see that there's really any disagreement about what actually matters.