Weller Soldering Iron Cover

I volunteer at a local school, helping to teach Radio and Electronics. We quite often solder items and I usually take my own iron in to bolster the numbers. When it comes to tidying up, we have to exit quickly from the classroom and hence, I've been wrapping the still fairly hot soldering iron in paper before placing it in my bag. Another solution was needed.

I spotted this design: https://www.thingiverse.com/thing:2265646 which I loved but really, I needed a faster solution than mucking arou