I would argue against that unitary build anyway. I found that it was easier to position the brakes and shifters for maximum function and comfort when I could actually do that. Those monobloc brake-shifters work perfectly---so long as you have the exact same hand shape, finger length, hand strength, wrist flexibility, and riding position preference as the guy who designed it.
I'd go more with dsaul's approach, personally ... look for wider and/or flared bars and a taller spacer stack and a longer/more upright stem. The drops might put your weight too far forward on your current bike (with its current set-up) but the tops might be too narrow, and the hoods too far forward also.
Possibly the hoods would be the place to ride if the bar was just higher and closer.
Everyone is different----but i bet everyone int he field was riding drop bars. I have seen cyclocross and I have some friend who ride gravel .... even the guy with a Cannondale Slate (suspension fork) has drop bars.
On another hand ... it is your bike, and if you want a flat bar, why not? But i don't think there are integrated 11-speed road shifters for flat bars.
Call Shimano ... there is the vaguest of tiny possibilities that they know more about what they sell than I do.

And maybe there is a way (like a Travel Agent) to adjust cable pull for 11-speed MTB shifters?