
We are very familiar with the DTD area and off-site hotels like the Days LBV. The maps can be deceiving (as some have mentioned). Here's how our walks to this area have gone.
It's about .5 mile from the Days to the entrance to DTD area hotels. It's another .5 mile past all the hotels to DTD shops. Then you can tack on another .75 mile or so to get through DTD, Pleasure Island, etc. From the map, it looks like SSR is further past this area, so tack on another .5 mile or so. Then you have to get on the SSR bus to head out to MK for your reservation. This may be more work than pleasure.
What time is your reservation for? Have you tried calling Days to see what the earliest time their bus leaves? I'd also check with a few neighboring hotels to the Days like the Double Tree Club Hotel LBV or the Sheraton Safari Hotel (much shorter walk) to see what times their buses leave. I'm bet if you explain your situation they might be willing to be "good neighbors".
Also, we bought 4 day park hoppers last year before the change and were told (and it is written on our hoppers) that "Disney transportation is included". It does not state which type of transportation is included or excluded. Good Luck!