I generally don't use a cozy for FBC. Just throw it into something handy (cap, bandanna, whatever).
While my meal is hydrating, I sip any hot water left in my mug/pot with or without an herbal teabag.
When the food is ready, it's time to get folding. I pull the sides outward and then fold them down so no sticky mess is exposed. A bit hard to describe, but I basically end up with a triple-walled half-height bag that fits nicely inside my mug.
Now I can eat "out of my mug" using a short-handled Ti spoon without any mess.
When finished eating, I place the days collect garbage in the bag, lick my spoon (don't worry, it will be sterilized when I use it to light my stove next time), and then I drink some cold water from the mug to clear out any peppermint tea residue.
Oh yeah, most important step is to find a comfy place with a great view to have dinner before moving on the perfect place to sleep the night away.
Works for me. Although, I do struggle with using plastics. Even re-used until they die, baggies eventually will end up in the landfill. I sometimes have nightmares of future beaches composed of tiny plastic bits instead of sand.