Yes, you can do that. But negotiate the price and make sure he/she knows that it's only the 1 hr training flight that you want to do, NOT the re-validation LPC.
To find an Examiner (FE), just ask the local flying clubs.
Check with the CAA regarding your Permit aeroplane being acceptable for th 1 hour training flight requirement. But do it by e-mail and keep a copy of the reply to show to the FE.....