I love the idea and concept. Kind of a quick response for a single medic that can arrive on scene and stabilize the soldier/victim until a transport can arrive. And the medkit "bombs" could be dropped to assist in the chance that their is a battle medic on the ground and he needs more supplies.
As far as color scheme, I see nothing wrong with a red cross on the sides just below the canopy and I don't feel it would clash with the blue. And I think the stark contrast between the black engine and the white body looks great. I don't know that hanging a patient from this chopper is an ideal situation I do believe some backboards and stokes baskets could be incorporated onto the chopper to use for patient stabilization once on the ground.
Edit for Virtual Customizing:
I liked the idea so much I did a quick mockup in Paint.
Attachment:
Medic Chopper.jpg [ 141.57 KiB | Viewed 680 times ]
Paint the skids black and the rotor black with the tips red.
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