There are some great minds here. You're not the only one who has understanding of power systems and airframes.
The EDF hotliner is a good idea. It may even be the best as far as the least watts for the most speed.
That's not what everyone goes for, though. Some may want a 200mph F-16, and are willing to do what it takes to get it.
If 177mph can happen on, say, 2500W, then 200mph will undoubtedly happen on 3607W. Just a matter of getting the motor and fan that can handle the power, with no other airframe changes other than strengthening required.
If it were down to efficiency alone, no one would even be running an EDF. But here we are..