So it also shakes at speed while engine braking? It stops if you take it out of gear? Paired with the fact you've had the transmission replaced before, that's the most telling to me.
I'd start with mounts for sure. They could have even cross threaded them and left some slop while thinking it's torqued. Seen that.
How long ago was the work done? The labor should be warrantied for a while.
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