Sunroom or covered patio observatory?

OK, so our HOA might frown on an external building.

But they might allow a covered/screened patio. They do allow a sunroom-style covered patio - a nearby neighbor has one!

My wife and I were brainstorming ideas last night, and hit on a possibility: covering our patio and including the observatory in it!

Here's a rough sketch (not to scale!) of one idea.

Assuming our HOA will approve either idea, my biggest concern about such a configuration will be thermals from the roof of the patio. Between a screened and a covered patio, which is the better thermally speaking? Assuming we don't heat or cool the patio, that should be a lesser concern, is that correct?

Any other input into whether this is the best idea since sliced bread, or "worst-idea-what-were-we-smoking"?

Thanks,
Eric

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This is what it might actually look like (that, or extend the patio a bit), as we'll need to pour extra concrete for the pier.

A shout out and thanks to Kevin, as his words "sun room" stirred this idea.

Note the compass direction: the patio is facing south, so it will mostly be northern views that could get "thermally challenged".

Eric

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Eric,

I agree with Tom, a roll over would have the least chance of setting off the HOA. A dome as you show as an alternative in your drawing would probably send them into a cataliptic fit , best stay away from that.

So Eric what's up with your HOA and the observatory plans?