Simple math tells the OP's original line - you will loose about 7 sq ft of main sail.
You will loose it at the bottom where the wind is slowest, you will loose it along the boom where the wind is squirrely anyway.
On the other hand, it will be expensive, more so than lowering the dodger and making a window in the connector between the dodger and the bimini.
I don't have a good pic of ours - here you can see the tan colored phifertex covering the isenglass, and the dark blue in the center is a removable cover as well. The phifertex is 80%, you can see through it for most purposes, but not enough to be safe underway, it comes off for full visibility, and a full blue cover goes on for sitting at the dock most times.
Full enclosures get hot.