I'd start without DLs or supplemental KB hinge drills and see how it goes first.
I don't think you NEED a hinge movement after snatches, and you'll figure out very quickly whether it will work for you. When you finish your 20 minutes of KSK, you'll either feel good to go for a couple of sets of DL or some swings after your other EES drills, or you'll decide there's no F'ing way (I'm betting the latter unless you're way underbelled for KSK).
One exception might be if you're doing double C&Ps as part of EES. It would be low volume if you're doing two set of 5 or something like that, and those extra "free" double cleans give you some heavy ballistic hinges that I find carry over well to snatches. And the cleans in 1-arm C&Ps should be fine if you want to clean for every rep.
As I mentioned above, I'm doing Q&D 044 snatches (with 32 and 28kg as my working bells) and I often do additional strength drills after. But I mostly don't feel up to doing much or any additional hinging on Q&D days. Occasionally, if my Q&D session was short I'll throw on five sets of 10 outside the leg swings with double 28s or some clubbell double swipes, but mostly I find the snatches are plenty.
If you're doing EES 5x/week, some more hinging on the two non-KSK days might work if you really feel the need, but I'd try it without to start.
This also depends on your work capacity and the kind of volume you're used to. If you're used to a high volume and are recovering well from it, you have more leeway to do more. If not, it would be wise to start conservatively and calibrate any additional volume with your recovery.
Edit: Just noticed this. I think barbell MPs and pullups in this format are good choices, but as mentioned above, I'd try without the DL first.