I'm not sure I have any real good advice for you but from a thermal studies point of view, air tends to only lose its convective properties when the trapped air mass is at a maximum of 2 mm in width between the solid surfaces. Then it has only a purely conductive component to its heat transfer. This is obviously a gross generalization but it holds true mostly. I guess my point is, the blinds won't help or hurt you.
if you are serious about using the room for heat I wonder if you could get a covering that would alter the light color but reduce the radiative heat leaving the window. There are a ton of ways to have a covering that has great absorptivity and low emissivity. Does a solution like this exist?
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