Nick,
If you get a chance, try writing a polite letter to the medieval department of the museum of London asking to see their reserve collection of arrowheads.
I did that several years ago and they invited me down,put me in a room of my own and wheeled in a large trolley filled with draw after draw of arrow and crossbow heads.
Their rules were simple, gloves to be worn when handling and any photos taken were for private use - apart from that I could draw and easure till my heart was content, I spent a full day there and still did not see all the heads.
I cannot tell you who is in charge of the department now as the lass i dealt with moved to Hereford and Worcester museum, but if you ring someone will be able to tell you.
Where are you based?