I have "SAS3" covers from TAB Gear and I'm very pleased with them.
https://www.tabgear.com/collections...1-sas2-sas3-sasr-suppressor-antimirage-shield
Measured my suppressors and sent them the dimensions. Fits perfectly and is of the design that slides on from the back, so it stays put and never works its way forward during shooting. Slide it on, install the can... done. If more rapid cooling is desired, the cover can be slid back down the barrel to expose the can and allow heat to dissipate.
Cover weight for a 1-3/4" x 7-3/4" can is
ONE ounce.
When I was teaching marksmanship, many students brought cans with and w/o covers. We had a lot of difficulty with mirage with uncovered suppressors after a few shots. I also saw quite a few designs and had a chance to see them in action.
Having seen more than one cover damaged by muzzle blast or launched downrange after sliding forward unnoticed, I think the "slide on from the back" design is the most foolproof and practical, and eliminates the need for bulky/heavy cords/straps and/or buckles. Again, mine only weigh one ounce and are very smooth and streamlined, adding only 1/4" thickness on each side of the can.
Between eliminating reflection/glare, cutting down on noise in brush, making the can safer to handle, reducing mirage and protecting the can from minor dings, I'm not seeing a downside. When I bought rifle cans, I automatically bought TAB covers that live on the suppressors.