Phil, “The Source Book of the RAF” lists the RAF’s orbat at several different points in time. The listing prior to 1953 is for July 1945. The list after is for April 1962. No. 203 AFS is not shown in either.
However, looking through the late Ray Sturtivant’s book “RAF Flying Training and Support Units Since 1912”, have come across the following info for No. 203 AFS:
Reformed 1-9-49 ex No. 226 OCU at Driffield in No. 23 Gp with Meteors and Vampires (RLG at Carnaby from 1-9-49, unit based there 7-50 to 9-50); 1-5-51 to 21 Gp; redesignated No. 8 FTS 1-6-54.
Further reading of Delve’s book revealed this information on unit badges:
The general outline of the badge followed a fixed pattern of an edged circle, surmounted by a crown and with a scroll at the base. Up to 11th November 1954 it employed a Tudor crown (often refered to as a King’s crown), but after that date it used St Edward’s crown (the Queen’s Crown).
Going by that info, you would be correct to use the King’s crown in your profiles.