Made it - the most expensive holiday trip ever I guess:
Start with a regular launch, TAL abort after the first engine failure some 3 minutes into the flight, down-moded to contingency abort after the second engine failure.
Going through the contingency abort procedure (that's the original cue card available in-sim for easy reference):

Kicking off the ET - in the GREEN region, it's actually disconnected via high rate sep (there's six different separation techniques for the ET in the upper atmosphere - RTLS and Contingency BLUE use alpha = -2, Contingeny GREEN uses high rate, and the other four are for when things are really going pear-shaped and you have no engines left...)

What follows is a 3.4 g pullout, some following phugoid oscillations as the Shuttle flies the alpha-transition pattern starting at Mach 6 through the upper atmosphere, taking over the roll axis to CSS to aim at Bermuda, then letting the AP fly again.
Bermuda, here we come (I've added plenty of shipping traffic around the islands for enjoyment):

And, a short-field touchdown (okay, I broke a gear strut...)

Here's the trajectory:

First wiggle is the TAL trying to steer northward to Spain, second (very small one) is the contingency yaw steering trying to steer south to Bermuda, and the third major one is my CSS takeover during supersonic flight. The HAC is too small to be seen on the scale, but I basically made it right into the TAEM pattern without any S-turns and was delivered into a perfect final from 12.000 ft - messing up the touchdown was entirely my fault...
It's actually fun to pull off this kind of stunt...