I am currently testing a way to speed up the game even more... by playing a single player multi-player game. This allows you to put the turn timer in place and this makes the game feel much more like a single player RTS and effectively puts a hard time limit on how long your game will be (because all turns will be completed within a defined timeframe). It is a maximum of 8 tribes, so the same map sizes of Tiny, Small (70% water) and Standard (80% water) will work well to keep the empire sizes relatively modest (and therefore the game very fast).
Enjoyable and a very different feel but main issues are:
i) the base turn time of 24 may be a bit short, I raise it to 30. This will still make turns absolutely fly by and forces your game to be fast. You can go down a difficulty level to compensate.
ii) there is no war weariness (I raise unit cost for a low war weariness govt type by 1 and a for a high war weariness govt type by 2, but this is very far from perfect).
iii) if you play with a custom biq file you may need to untick the 'default victory conditions' button in the scenario page in the editor. If you don't do that you may have zero victory conditions enabled.
iv) I don't think you can pause. So if you need a break, you need to save.