Hi Baron2,
None of the standard Mitchells have the clearance between the bail and your rod when using gloves. Like you, the Mitchell 304 is my favorite of all the Mitchells and growing up fishing in Maine, I had plenty of exposure to cold weather fishing. April 1'st was opening day of Trout season - frequently (actually most of the time) wading through snow to get to the river/brook. Great times but COLD!
In the early 70's Mitchell addressed your very issue with the 500 Series reels. These are some of mine in my collection but these aren't my users!!

- Mitchell Duals 1.jpg (264.49 KiB) Viewed 12100 times
These reels and rods were expressly designed for cold weather fishing and actually quite ingenious. They didn't come in the 304 style but they are great reels. The Mitchell 510 (Mitchell 300 size) is fairly common but they are not inexpensive when you find them in good condition. Mitchell made the 500, 508, 510, 524 and 540. The rods are Mitchell Conolon and are specific to mount these reels and they are quite expensive when you find them. Toasty hands while early fishing will cost a few $$$ but may be worth it. Tight Lines!
Kind Regards,
Chris