Hello,
Why do you want to use a sliding dovetail in this instance? I can't see a situation where a sliding dovetail BBE would be an advantage, but the difficulties in making them are high. As custard says, they only project a short way into the BBE, so leverage on the ends is a problem. Keeping the BBE narrow to reduce leverage, somewhat defeats its function, as a reasonable width is required to keep the tabletop flat, the BBE's function. A snug enough fitting sliding dovetail will be hard to fit, the friction involved is great, make it sloppy and again, it's function of keeping the top flat is compromised. And how do you glue it? Just at the centre to keep it together but still allow seasonal movement of the table top, but how can a sliding dovetail be glued only at the centre? The glue will be smeared along half of the joint at least, during assembly. And appearance wise, once the top shrinks or expands with seasonal movement, there will be an ugly dovetail shaped protrusion of depression on the BBE. Multiple mortice and tenons, joined by a stub tenon and draw bored into elongated holes and glue on the centre M&T is beat all round IMO.
Mike.