So there's a lot of politics in the air lately, at least here in the U.S.
The first rule of this game would be to dodge actual political issues as much as possible and instead focus on the personal lives of the characters.
An idea that comes to mind is putting this game either in a hypothetical 2017 inauguration wherein a fictional candidate (one of the players) has won the presidency and centering the story around their administration... Something like West Wing or Veep. The man or woman in question, I think, would be the first bachelor to enter the white house since 1885. Sure, his or her opponents might have tried to pin a few sex scandals on them during the election, but if it's consenting sex between two unmarried adults... well... no harm, no foul. Hell, the American public seem to enjoy a president who has an account on Tinder.
...or, if the players want to be more... adversarial, then we could focus the plot on the efforts to pass a monumental (but largely unspoken about in the actual RP) bill through the House, a la Lincoln or All the Way. It will involve a lot of compromise, backroom dealing, and, given that this is Elliquiy, sex. This might be a little harder to keep apolitical...
If I had to surrender just a little bit of actual politics to the plot, the bill would probably be the creation of subdivisions between national government and state government, combining states into regional blocs to prevent 'race to the bottom' economics and to fight overseas governments being able to target and strong-arm individual states. Let's put this in 2024 with the assumption that things have gotten bad enough for this to be considered a realistic possibility. There would be as much support for the bill as there is against it, plus elections that year... a lot of people would need to be appeased/dealt with/compromised to get the bill passed.
So, I dunno, what do you guys think? I'm just throwing ideas out there...
This could be as feel-good as the West Wing, as silly as Veep, or as slimy as House of Cards.