cancel because you ran out of money and 10 more constructors have arrived
Back to your premise that influence SB's are too much work.
It sounds like you're wasting time with the modules that are based on the diplomancy branch of the tech tree. Basically I ignore the diplomancy dependent modules which start with Diplomatic Outpost because the bonus they give is not worth the effort.
There are a total of 11 possible Influence modules making a total of 12 constructors required to build a maximum Influence SB. With all 11 modules the influence bonus is 337%. However if you don't bother with the modules starting with Diplomatic Outpost (which itself gives a measly 5% influence bonus) then you can build an Influence SB using a total of only 6 constructors that gives a total influence bonus of 255%. This gives you 75% of the total bonus for 1/2 the constructors. If you want to truly maximize your bonus per constructor then simply build two 255% influence SB's for the same number of constructors as a single 337% influence SB. It's a no brainer.
It's also easy to do. Simply don't build the Diplomatic Outpost with it's lousy 5% influence bonus and that will exclude all the other diplomacy based modules from being selected. The only modules you need are the following. Of course you will need to have researched the Influence branch of the tech tree but you would need that *plus* the Diplomatic branch for a full 12 constructor SB anyway, so this allows you to skip the diplomatic branch.
Franchise Center (25%)
Franchise Headquarters (30%)
Cultural Maximization (40%)
Insurrection Coordinator (60%)
Cultural Conquest Center (100%)
That's 5 constructors plus the orginal constructor to build the influence SB for a total of 6 constructors. That's a pretty cheap and easy SB to build. An economic SB (for research and production bonus) requires 7 constructors, a resource mining SB requires 8 constructors and a maxed out military SB requires 28 constructors. The only simpler SB is an economic SB that only gives a trade bonus which reqires only three modules for a total of 4 constructors.