I had the same problem with the Starlight Drive In. I turned off city leaders, so I was able to launch with just a desk and a box of ASAMS.
I use the scrap everything mod. What I noticed is that the City Plan did not only scrap things, it actually restored items that I had scrapped which normally cannot be destroyed.
With that in mind I went to Red Rocket and tried there, as that base is virgin, I have made no adjustments whatsoever, and it scrapped all the normal stuff, as well as the desk, but no build.
So, I tried it with a Leader, Codsworth, and it once again deleted the desk, and nothing built.
Attached is a list of all the mods I am running.
I am new to this whole modding thing, so if you need anything else, just let me know.
You have done awesome work! I love the Fallout Series, I played the four previous games vanilla and loved them, but found that I just could not enjoy FO4 until I found all of these wonderful mods! I am so glad that this community exists.
Thanks for your awesome work!