Have you got the tyre type incorrect as all the Goodyear Bargrips I have seen are crossply?
If you fit modern tubeless radials from a T244 to split rim wheels you will need to use tubes which some tyre makers are not happy about due to heat build up from the more flexible sidewalls. You can get special radial type tubes but best to get advice from the tyre maker.
Also beware if thinking of using an alternative wheel, I seem to remember the Bedfords are nut centric and later types may be hub centric. Either way don't forget to re-torque after 50 miles or so.
Unless the fitting charge includes a new tube and flap it is way over the top, it takes decent tyre fitter a maximum of 15 minutes to strip down and build up a split rim, even if the bead has stuck to the rim. Five minutes to inflate in a cage and job done.