St Louie, and your hands are freezing? Come on, you don't even know what snow is.
Ok, taking your question seriously, here are the best options:
1. increase head warmth and your body will radiate more heat thru hands
2. bite the bullet and get some great gloves. Not bike gloves, but black diamond rock climbing gloves. They will give both warmth and flexibility. They are way way too warm to use above 35 to 40 degrees, i.e. St Louie weather, but they are toasty.
3. Go the motorcycle route. You need a taco to put your hands into. The taco cuts the air stream and traps air inside it. Inside the taco are your shifters, gloves and hands. It takes some getting used to, but is the best solution for cold hands. I don't think this is made for bikes. Look up designs for the motorcycle and make your own. They are super simple: Two pieces of fabric fastened together in the front and right/left sides but open facing the rider. You will need enough slack for all the shifters and easy placement of hands inside. Say about 5-7 inches. Usually they use tie strings, or velcro strips to attach to handlebars. The fabric should be heavy insultated vinyl. You don't need much. A yard or two at the most. Instead of taco, you could describe as bat wings. On cycles, the "taco" is black with heavy liner like you see in gloves. Since you are making yourself, if you can't find insulated vinyl, you could line the vinyl yourself. You want uphostery quality vinyl and not stuff that will rip. Sorry I don't have product name, it's been too many years since the gold wing.
hi 'o