Together with another developer I am currently building a citizen happiness analytics solution for government authorities.
Any tips or experiences with selling SaaS to our target market? General B2G tips?
As far as happiness goes, this are already measured in its most relevant form as approval ratings, and it's done so with varying degrees of accuracy by professional polling organizations.
If you've been following FiveThirtyEight, you'll know that polls have become exceedingly difficult to conduct with accuracy. People just don't respond to them like they used to, and it's very hard to reach certain segments that are vital to having a representative sample (e.g. low-income Latinos in the US).
And besides all that, why would a government want to analyze citizen happiness? It's very naive to believe that career politicians are working to make people happy. They have many complicated personal reasons for doing what they do, along with some combination of desire for fame, influence, or money.
Another route you can take, depending on the agencies you are selling to, is to sell it to existing federal contractors. There is usually a "materials" line in their contract for buying stuff to bypass the normal process. This is common with DOD, not sure about others.
Good luck.