Smallest lunar lander so far is 200kg/440lbs, that's the weight of a carry on full of lead. Besides the Space Shuttle can't go higher or deliver higher than LEO anyway.
You're right that Space Shuttle was a nonstarter for technical reasons, but it doesn't change the core issue. Neither does the mass. Unless you can find other companies willing to share a launch with you, you're paying for a whole rocket. And that's if you can manage to contract a rocket in the first place. As an inconsequential nitpick, no lander weighs 200kg. You're conflating landing mass (of which there's been well smaller than 200kg) with total launched mass. Fuel, thrusters, and so on multiply the weight substantially.
Now that we've clearly nailed all 4 of those points, we're starting to see lots more interesting things in space from tourists visiting the ISS, people sending their ashes to space, to doing private space walks and going further into space than any human has since the 70s [1], and now even things like this with a private company landing a payload on the Moon. Many of these things are done with no return beyond doing them.
More specifically though, this is also literally why SpaceX was created. Elon was researching NASA's plans for getting men to Mars. They literally did not exist. He wanted to get society more interested in space and so his idea was to launch a greenhouse to Mars and live-stream it. The capability for that simply did not exist in America, and in Russia the costs were far too high. So SpaceX was born.
FireFly launched as a private company on a Falcon 9 so their cost was probably a peak of ~$0.07 billion (to maintain units) which may have been able to be privately negotiate downward given the nature of the mission.