Fallen Spire is a good thing if you're trying to get Control 110, but I'd stay away from Snake. It's much, much better to go with something like X, as X maps are nearly as defensively advantaged but offer much shorter distances to the various targets overall, make it relatively easy to have a contiguous empire while leaving the computer several easily defended access points to your empire, and usually allow you the option of expanding away from a strong point you don't want to deal with yet; perhaps better would be one of the map types which allow alternate routes between worlds but still tend to have relatively low wormholes per planet, such as Concentric. Whatever map type you choose, plan out your invasion, remember to leave a world or two in AI hands so that there's always at least one world that can make direct wave attacks against your worlds to avoid cross-planet attacks and perhaps prevent the wave scaling due to limited access to your empire, and plan out your city placement to make best use of their defensive power (you may alternatively want to maximize the number of cities you can place; if you're going for Control 110, you'll probably have the resources to build cities all over the place eventually, and massive Spire fleets can be fun, though this increases the exowave response if I recall correctly).
Also remember that Spire Shipyards need not be built on the same cities that have the Shard Reactors, and that you only need one Habitation Center per city. Thus, you can have five shipyards for every two cities you build, rather than two shipyards per city, and you can make a very defensively powerful city with five shard reactors and a habitation module to guard an important point while a less defensively powerful city with five shipyards and a habitation module provides you with your Spire fleet and sits in a less exposed position.
Golems (Easy) or Golems (Hard) and Spirecraft (Easy) or Spirecraft (Hard) could also be good things to play with if you're trying for Control 110, though I'd stay away from the AIP-boosting variants. Botnet probably isn't worth taking on either the Medium or Hard setting, as its utility is somewhat limited when a lot of exowaves are in play and you're probably not going to want to boost AIP to turn it on when you also want to take 110 planets.
