Found another useful source. The Royal Mail Archive holds records, manuals and correspondence relating to the working of TPOs. It covers route diagrams, rolling stock, mail exchange apparatus, inspection reports, rules, staffing, contracts with railway companies and emergency arrangements during WW2. Series POST 18 ('Travelling Post Offices') consists of 115 volumes of manuals and 96 files of correspondence from 1838 to 1992. Files are open subject to anything still under the 30 year rule.
Series POST 19 ('Postal Business Statistics') has a block of files containing weekly TPO returns of train times and traffic figures from 1951 to 1974.
The British Postal Museum & Archive is at Freeling House, Phoenix Place, London WC1X 0DL.
Cheers
David