Probably the most clumsy step in packing your bike is finding a spot for the handlebar. The rear brake hose, dropper and derailleur cables limit range of motion, while the front brake hose and caliper just sort of flop around freely until you find an appropriate anchoring location. But this annoyance is easily fixed by removing the brake entirely. Most levers have a hinged or removable clamp, so a bolt or two and you’re off.
And to keep the caliper neat and tidy, you can use a couple presta valve nuts to help hold on to the bolts, washers and adaptor. Wrap that whole assembly up and you can finish protecting and packing your bike and sneak in your generously padded disembodied brake wherever works best.