Like you I have been curious as to the experience from the British perspective of life in Mandate Palestine. After some searching I found "Mandate Days: British Lives in Palestine 1918-1948", written by A.J. Sherman (ISBN 0-8018-6620-0) and published in 1997 by the John Hopkins University Press, Baltimore/London. Sherman was born in Jerusalem under the Mandate. He lives in Vermont and is an associate fellow of St. Antony's College, Oxford. I have a copy in my library and found it a very readable and balanced account and should be just the thing you are looking for. I bought it this year, so it should be easily available. Regards.
Public Security Minister Erdan considers outlawing Jewish extremist organization Lehava (Haaretz)
from the article: London's burning for Dichter