Hi Norm,
On reading a little more of the original posts I see that the reason you are thinking of this idea is that you are in a lot of pain at times and movement is restricted.. I'm sorry to hear that and offer my sincere wishes for a speedy recovery.
I was thinking of something more like a rotisserie. My mate made one for the chassis and the body of an old Chev he was working on. If you get the balance point right you can rotate the chassis with one finger so its easy to weld underneath, and paint etc. I do not think you would need to be so accurate for a mower, they are not that heavy. All I can think of is a solid post in the ground with a frame that goes right round the mower with a couple of sliding attachment points that clamp to the mower frame. This frame would rotate on some type of axle.
Lifting would have to by something sliding up the post maybe pulled by a boat trailer winch.
I wonder if we could adapt a rotating engine stand.
My concern with your idea is that it might be unstable unless the base is very wide, particularly if you are going to lift mowers on their side on it. If it is very wide you will have to step over the base rails when working. I suppose you could just use the scissor lift to raise the mower high enough so you easily push it on to your existing bench. That might work.
Even to change the oil in a Briggs you have to tilt the mower. I usually end up with it right upside down to get a complete drain after sucking the fuel out first and removing the air filter. Its a good idea to drain the tank anyway at service time.
Anyway I can not think of a practical way of building this thing yet,
All the best and look after yourself,
Jeff