It seems that “gone to” can be and is used similarly in BE, so I’m not sure why you claim to have a problem with the use of “gone to” or why you seem to want to categorize it as being exclusively “American”. It seems more likely to me that the main difference between BE and AmE in this case may simply be frequency of usage. Your professed lack of understanding for “gone to” may simply be a reflection of your own personal mental block and/or your own personal preference for “been to” over “gone to”.
Since you are clearly a speaker of British English, it may be more useful for you to try to analyze what you seem to perceive as a British preference for the use of “been to” even though “go to” appears to be quite acceptable in BE when used in a different verb form/tense (i.e. similar context, similar meaning, different verb form).
Here are some examples of “gone to school” as used in BE (various perfect forms):
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Meanwhile, 75% of children out of education in these countries had mothers who had not gone to school.
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I think that tells you race was a factor in all of this but I’m just delighted today Jordan has gone to school, at long last.
(This article may be especially interesting to you since it mentions a Nigerian woman with a UK passport.)
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Sometimes we get people in from local businesses, or other role models- recently we had a visit from Oxford University students who had gone to school in Newham.
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She settled into playschool very quickly and soon made lots of very good friends who she has now gone to school with. (From Julia D’s testimonial)
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Muriel Spark would also have gone to school in that building.
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Having lived in Barking and Dagenham for most of my life and gone to school here, I have very high expectations of all students.
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I have trained many people who begin in this way and carry on long after their own children have gone to school.
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I am being bullied at school. Well I was, and it has happened before. Both times I told my parents and they’ve gone to school and it’s stopped,…
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Then there is a group of young people aged 19 -24, many of whom will have gone to school here, who are training in our workshops which help people with special needs to grow and mature into Adulthood.
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Would you like to have lived in Victorian times and gone to school with just boys or girls?
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