Sounds like you need to work with them some separately, particularly Spanky, to get him to be better behaved on the leash. Once you and he have worked on that, then try adding the Beagle back n.
Have you tried one of the "no pull" harnesses/collars - like a Halti - for the beagle just to at least spare your poor arm socket some wear and tear?
I would suggest a long walk for Spanky, get him as tired as possible - before getting together with Bailey, after all, a tired pup is a better-behaved one! If you have a place to play fetch safely (fenced in) that's a good way of tiring him out some without exhausting you ...
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