Culture in Science Games (or: How to prevent Ideology influence?)

I've been struggling to figure out where/when to deal with Culture in my Science games.

For example, last game I played a 4 city Tradition opener as America and aggressively pursued Science and Trade Routes.

But in the late game, my civilization was deluged by Ideology Influence and Unhappiness from Civil Discontent as I had neglected culture all game and never touched Tourism.

I even switched my ideology to the leading Ideology, but that wasn't enough -- I still was under Civil Discontent as now my former ideology and the other ideology were pressuring me.

Because the AIs had distributed themselves fairly equally among the ideologies, and because they all had vastly greater Influence with me than I had with them, I realized that no matter what Ideology I picked, I could never be free of Civil Discontent.

My bandaid was to spam happiness buildings everywhere possible and trade for luxuries, but it felt like that was not the intended solution.

What could have I done to prevent this situation? When and where do you add culture to your Science games? Do you designate one city as "culture town" and build everything there?

You don't need to go crazy with culture, but you can't just ignore it either.

I haven't tested this yet (since I usually play culture/tourism-heavy games) but it seems to me that unless you are going to use a lot of great works (which you obviously aren't), building culture buildings above the monument does not make that much sense as they give very little passive culture now (only 1 per building).

I suppose there are several ways of boosting your culture in a defensive manner, without going all culture:
- build the writers' guild in one city and staff it with specialists; use great writers to write a treatise (as opposed of creating a great work),
- build some of the culture-heavy wonders,
- close your borders and adopt a different religion than the civs whose ideology bothers you the most (since open borders and shared religion each increase their cultural pressure by 25%; if you can defend yourself, also try declaring war on them, as this ensures they will not send their trade routes to you - which adds another 25%),
- get your archeologists to dig sites in your own territory and build monuments there (as opposed to creating artifacts),
- try getting the resolutions that disadvantage culture-heavy civilizations passed in the World Congress (e.g. Science Funding; or embargoing the culturally dominant civilization).

In short, do everything that an isolationistic and jingoistic nation would do - prevent your people from travelling abroad and tout your own nation's achievements.