While you are in the heat of your frustration and most likely to spend some money i would buy three stout alloy cleaning rods.
If you put them together and screw them up tight with some lock tite you wont take them apart.
Stick a phosphor bronze on one, wool mop on the other and a quality brass jag on the third.
Its very hard to lose one 34 inch long aluminum rod; losing 3 is particularly difficult.
Wooden rods are fine but i shoot black powder and when cleaning the barrels out with hot water and washing up liquid the wood soaks up all the water and can be wet for days. A tough patch resulted in the snapping of one wooden rod i had and its just inconvenient if your relying on that as your only rod.
This rod here ( im guessing you are in the US so you will have to hunt around for similar ) is about 12.5mm thick of aluminum.
The attachments that come with it are OK, but the plastic jag wants binning and replacing with a brass one.
http://www.uttings.co.uk/p103863-gmk-alloy-rod-cleaning-kit/#.Vt1lD33XuUkIf you have multiple gauges of guns get a little organiser box to keep everything in smartly, fine something suitable at a pound shop or something.
Plastic jags are hopeless and the brass ones have much better threads, look nicer and last longer.
http://www.uttings.co.uk/p103940-napier-ultra-jag-12g-4728/#.Vt1lLn3XuUkHad this frustration with cleaning kits going missing and such and i thought hang it and just bought more bits than I'll ever need, when i lose an attachment i just use a new one, never bother looking for the missing one, eventually i find them in some drawer or other and they go back in the box but i got fed up of losing them.