We can build a monument but not a temple, monastery, opera house, museum, broadcast tower, etc. Wonders are OK but only those which have a purpose other than "just" culture (so no Stonehenge, for example). Details still coming.
If we're going the no-

buildings, then I suggest we don't allow monuments either. I'm guessing your reasoning was for the cultural expansion, but I still disagree. We can always buy tiles, or get the civic (Representation) that grants +1

in each city. I agree on the wonders.
- Keep our non-puppet cities very very minimal
I was thinking this too. My thought was rather then puppet cities, we instead raze them and then sue for peace, that way the AIs keep building more cities and units. I'm thinking rather then destroy civs, we need to keep them small, since we're going to need plenty of units to kill for our

.
Side effect -- I'd like to experiment with highly promoted units. March, in particular, is an awesome promotion. Barracks + Armory and maybe a few other things will provide lots of starting xps.
This sounds very interesting, especially considering the prereqs some of the promotions require.
I took a quick look at the policies and which ones would help us the most and this was what I came up with:
Liberty
- Representation: +1 culture/city
Piety
- Mandate of Heaven: 50% excess happiness added to culture
- Theocracy: -20% unhappiness in non-occupied cities
Freedom
- Constitution: culture doubled in cities with world wonder
- Free Speech: -25% policy culture costs
There was one other policy that helped remove unhappiness (thereby stacking with Mandate of Heaven), but it was in one of the trees that wouldn't agree with one, or more, of the above, so I left it out. Sorry, can't recall what it was, or which tree.