Thanks for all the advice! Started a new run. I had my worker(s) focus on the tiles the citizens were going to be working ahead of luxes. Since I wasn't straight spamming settlers, this worked out just fine in the happiness department. Though I still got to all the luxes I could to get a golden age up as soon as possible. Not spamming settlers, I was even able to time it that if I got friendly with a maritime CS, I got to benefit from some of the food
Some other advantages of not just spamming settlers is that I was able to put off Trapping for a bit and grabbed an early Writing. This allowed my first couple settles to work on libraries right after a monument. This along with an early caravan to a civ made for a better early science game overall. I also made sure to sell every horse/iron that I could since I didn't need to use them right away. I was also a bit more forward with my military units, which allowed for a couple more tributes than I'd normally get, so money was consistently higher.
Here's where I'm at right now:
http://i.imgur.com/di88L3D.jpg
Turn 89 Liberty start with 7 cities and I just finished National College! Thanks for the tip for using the Liberty finish GE to rush NC. Meanwhile, I have a settler in place that was just waiting the 1 day for NC to get up before settling. And another settler who will settle next turn. So by next turn, I'll have 9 cities up, most tiles of existing cities developed, almost all roads in place, and happiness and gold will be fine for a bit.
At the moment, I have 9 workers. Though that was mostly unintentional. I had the one I made as my 3rd build, early ones from Persia and Colombo. I was able to grab one of the Mayan's workers shortly thereafter. By this point, I actually had too many since I was settling more slowly. I actually held off on Pyramids until shortly before NC since I knew a couple more expands were coming. Then I happened to find a barb camp with one of France's settlers, which I kept.
Having the workers forcus on tiles the citizens were working over luxes was really helpful. My problem is that I still don't know where to go from here. Because all of my settles are relatively abundant in resources, I'm tempted to go for a science victory. Only building as much military as I need to defend. Which will be a lot since I'm literally in everybody's face except for Denmark.
To that end, where to put my next social policies? Thus far, my attempts at Liberty have gone into Piety to get a reformation belief in order to be able to buy great people with faith. The problem with that is that it takes unlocking and putting 4 social policies into it. I can usually hit Rationalism before all that and this game, my science is well ahead of where I usually am. So I was thinking instead to put a couple points into Tradition just to help with wonder-building. Or perhaps I should go commerce to stave off the impending gold troubles?