Hi Alan...I can't give any buying guides for the Saxon rear brake shoes.
However regarding the improvement of the TS 250 SLS front brake however I could write quite a lot.
The design of this brake shares the same design problems as does several British SLS type brakes in that there are 2x fixed pivots for the shoe ends but does not have a
floating cam spindle. I wrote extensively on this problem on the Norton Owners Club GB which has similar action but larger front brake. As you would know, most of the braking force in an SLS design comes from the "LEADING" shoe and very little from the "TRAILING" shoe. This causes the leading shoe to wear much more quickly than the trailing shoe. This wear difference (which occurs straight from new) creates the problem that the fixed leverage geometry of the brake design cannot self adjust for the wear and thus leaves the powerful leading shoe with no pressure because the now thicker, trailing shoe touches the drum first and stops further movement of the rotating cam to push the leading shoe with any real pressure against the drum. So in effect you have the trailing shoe dictating the pressure that is delivered to the leading shoe.
Car designers overcame this quite easily with hydraulic system that automatically equalises the pressure on both sides of the pressure ram that pushes the shoes. Before hydraulics they used a system where the levering cam could float, usually held down by a couple of pressure springs. This allowed automatic compensation so the faster wearing leading shoe was always getting full pressure as the cam pivot could float to a central position and apply equal pressure to both shoes which overcame the shortage of pressure on the leading shoe.
So how do we improve the TS 250 brake?
One easy way is to ream the spindle hole a little larger. The extra clearance will allow some equalising movement to occur on the spindle We also need to enlarge the main spindle hole a touch too, as then we can equalise the brakes regularly by loosening the spindle nut and applying the brakes then re- tightening. This adjustment can only work if the brake plate can actually move a touch off centre to equalise the contact of the shoes but, as explained above, the improvement gained, will be short lived unfortunately.
Another way is to fit a very soft easily wearing shoe on the trailing side compared to the leading side. This will keep the wear differences more even. Another way is to remove a section of the trailing shoe lining* nearest to the cam. This has 2x benefits in that the cam can now lever the the trailing shoe more harder against the drum as the lining starts further away from the lever (improved mechanical ratio) and in doing so should wear the trailing shoe more quickly for 2x reasons; there is more pressure and there is less friction material. The main improvement though will come from the fact that the leading shoe, the one that does nearly all the braking, is receiving full pressure without being bigger hampered by the slow wearing trailing shoe that, in a normal set up, stops the cam from rotating fully and supply the full leverage power to the side that matters.
These mods have proved very effective with my Norton brakes.
* The lining only needs to be filed down a couple of millimetres, it does not need to be removed completely. Once the linings surface is lower it will not touch the drum and the first contact patch will have shifted along to a point further away from the cam lever. I would try about 20% of the original length to start with and increase if the brakes power has increased ( I think I once read that someone used 50%? ) Ultimately, the natural wear on the lining might, depending on the depth of removal, cause the lining to be in contact again which will be felt in the reduction of the brakes performance.
Les