Hello Ross, as briefly mentioned in an earlier post, I have a booklet titled "The General Service Medal: Palestine 1945-48", that in addition to listing medal recipients, also has an Order of Battle list for the units involved in the conflict. It's not infallable, in my experience, as there seem to be a few typos here & there, but I think the bulk of the info is probably accurate.
Anyway, 6th Field Regiment, RA is listed as divisional troops belonging to 3rd Infantry Division (along with 7th & 33rd Field Regiments), which was in theatre (in whole, or in part) from November 1945 until June 1948.
Kevin