Shimano Deore as Gravel Bike
There are no Shimano brifters that are 2x11 compatible, but Microshift manufactures some. I use a Microshift SB-110 (1x11) and a bar-end shifter for a drop-bar 3x11 setup with an XT rear derailleur (RD-M8000) and XTR front derailleur (FD-M9000) with no issues.
Here is Microshift's product page for the SB-110: https://www.microshift.com/en/product/sb-m110/