My TOS is also the type which slides on oil - double V ways (in both the long and cross directions). I don’t know your machine. On the TOS it would be easy to add a stop block in the same slot as the adjustable trip dogs, the challenge would be to add an anchor point on the table.
On the TOS the rod for the hydraulic cylinder is easy to access (the ram extends out each end of the cylinder). Perhaps you could make up fitted clamps and lock the ram right at the cap of the cylinder (both ends), so the cylinder is absolutely locked solid? The cylinder force on a surface grinder is not very much (low oil pressure, small cylinder).
Have a look at the way a tool and cutter grinder is set up. I have a Cincinnati #2, there is provision for setting longitudinal table stops (granted it is a manual machine, but provides ideas to copy).