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Apparently the ACC is thinking about this - 3 annual opponents, then 5 one year, the other 5 the next year, alternating.
So naturally, if it became the norm (for conferences of up to 16 teams:  3+6+6), what might that look like?
It's basically a pod system when you don't yet have enough teams for the pod system.
The B1G, Big 12, and PAC may look into this as well, if expansion isn't happening anytime soon.
The SEC, with 16 teams, would just do a pod system (4x4).
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ACC - the easiest way to do this is to pair up each team with 2 others, then fill it in from there.
For the ACC, this is doable with geography, old ACC, old Big East....but then there's Louisville.  Someone will just be stuck with UL, basically at random. 
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I start with FSU getting Miami and Clemson.  2 name programs, so this would be the toughest pair of opponents initially, and that will encourage a weaker 3rd team later on.
FSU:  Miami and Clem, Duke
Clemson:  FSU and GT, UNC
GT:  Clemson and WF, Pitt
WF:  GT and Duke, NCST
Duke:  WF and UNC, FSU
UNC:  Duke and NCST, Clem
NCST:  UNC and UVA, WF
UVA:  NCST and UL, VT.....here's who gets randomly paired with Louisville.  It's okay, though, as the Cavs will have their real rival, VT, as their 3rd annual opponent. 
UL:  UVA and SU, BC
SU:  UL and BC, Miami....the UL-SU pairing is weak and kind of basketball-y, but it's fine.  SU-BC starts the old BC run.
BC:  SU and Pitt, UL
Pitt:  BC and VT, GT
VT:  Pitt and Miami, UVA...while not very geographic, VT was Miami's toughest out back in the Big East days.
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So all of that focused on clumping teams that might give a damn about each other, aside from the exceptions noted.  The 3rd team will be to try to even things out, as much as that is possible.  So we're not going to sit here and toss Clemson and Miami together or make FSU play those 2 plus VT.
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Added in above, in bold.

I would want OSU to have MSU's trio, in this absurd hypothetical. 

The ACC adopting a 3-5-5 is most likely reality.  What other conferences do is still open to speculation.  The Big Ten could go to a 5-4-4 scheduling model if it keeps 9 conference games or use the 3-5-5 model if they switch to 8 games. 

 If the Big Ten goes with 3 permanent rivals, I think you can do better than your choices above.  Just forget the pod idea and focus on giving each school the 3 best choices for annual rivals.

 If the Big Ten goes with 3 permanent rivals, I think you can do better than your choices above.  Just forget the pod idea and focus on giving each school the 3 best choices for annual rivals.

This isn't pods.  
You can't just give each school the 3 best choices, it's all uneven.  Some schools have 2 others that deem them their top rival, while others have zero.  
You'd also have wildly uneven schedules in terms of difficulty if you didn't toss in a weaker foe in there.  
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No one wants to play Rutgers every year, because no one gives a shit about Rutgers.  But someone has to play them.  Does it not make sense that the team with the toughest other pair of annual foes plays them?  

I know you're eager to hate me, but try having an actual conversation.

Penn St being included in MSU's trio and making it too tough is what I'm looking for to improve it.  Pointing out what you deem as an error and saying I suck isnt helpful.
Providing a fix would be nice.  You're not nice, but still.  Try it.
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The "OSU and Nebraska were crossover rivals for a time" was useful.  Try sticking to that mindset.  Thanks.

And no improvement suggestions....thanks for being useful.

This isn't pods, ffs. 
It's 3 annual opponents + "half of the rest" each season, possibly including no divisions.  The "half of the rest" could be the same groups, alternating each season or it could be a gradual mix.
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Pods are solely divisions, of which you play the other teams in yours every year (3 annual opp) + 2 from each of the other pods one year, the other 2 from each in the next.  Pods wouldn't work with 14 teams. 
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The only similarity between these two are the 3 annual opponents thing.