Yes, an awning will fit there. Having less than the recommended 3" of space above just means that the rolled-up awning will cover a little bit of the black window frame at the top of the window (but not any of the glass).
Check out
my post for a little more info.
Here is what I used for the sofa window:
Dometic AE Standard Elite Window Awning, Metal Shield, Blk-Gray, 60", SKU 85662BT.0600
and for the dinette window:
Dometic AE Tall Elite Window Awning, Metal Shield, Blk-Gray, 66", SKU 85690BT.0660
I ordered from Makario's RV, but they have gone out of business.