This is something near and dear to my heart.
If it is just me and I have a long walk ahead... In a pinch, I toss a few in a plastic trash bag and tie it to my wader belt. (Ugly but it works) I have never used a mesh bag. But if I am going to a spot to work for the night and I don't have a long hike involved, I bought a very hady continer at "Benny's", it is a plastic tupper-ware like continer with a hinged lid and a handle. It makes it very easy to carry several dozen. The downside is ...you have to carry it.
I was telling my wife several things need to be developed for the surfcaster.
1) A better way to put eels on your belt and out of the way. (you also need a cloth rag on the belt.
2) water proof fishing gloves. My hands get cut-up like no tomorrow when I am into fish. I know they make neoprene gloves but they are too thick. (good when it is cold) but you cant tie a knot with one. I tried golf golves but they crap out after a while in the water. We need a ultra thin neo glove...
3) a better overall plug bag/wader belt carrying system for /gaff/bogo/eel/bag etc. This winter I am going to try and piece together such equipment that works better the the stuff I have now.
I hate stuff in my hands other then rod and fish.