Sure... be balanced as you said.
So first off a high standing army helps stopping them DOW you so easily.
You need science for a cultural victory, you win a hell of a lot faster once you have computers.... so I recommend this for any civ.
Get divine spark because it helps with both scientists and cultural types.
Push you culture heavily until you get museums then swap to a heavy science push, this really helps you victory as well as defending. I go as far as pushing science projects as well. You may in fact want to swap to science before museums... it depends but in a perfect world you would hit computers at the same time you fill your museums.
On the way to computers you pass seaside resorts which are stronger than museums really.
Nothing else really matters for a cultural,victory, you are far far far better off pushing a science project than building a wonder other than Eiffel or cristo.