Inspired by Jan, I bought and modified a Petrel as follows:

Stock photo of the Petrel.

Another stock photo of the Petrel. One item to note is that the handle when folded closed holds the lid on tightly so a stuff sack is not required (although it comes with one).

Last stock photo. Note how low the burner is relative to the pot. Does not seem like it would perform well in the wind.

My modified setup, all wrapped up. I replaced the handle with a neoprene cozy, made a lighter lid, used string and a cord lock to hold it all together, modified the bottom slots to accept a BRS stove, and made a 360 degree coverage windscreen.

Everything, including the windscreen, fits easily inside the pot.

Everything removed from the pot.

Enlarged slots to accommodate a BRS stove plus an aluminum flashing windscreen held in place with three (3) stainless steel bicycle spokes.

BRS arms in modified Petrel slots. By the way, I used an angle grinder to enlarge my slots, which I do NOT recommend. If I do it again I will borrow a Dremel rotary tool.

Windscreen comes down to the wire handle of the BRS stove.

Complete setup. Ready for cooking in the wind.

Aluminum flashing lid is only 7 grams, versus 27 grams for the stock lid.

Summary of the changes and weights.