I went and looked at all the 16m² and 32m² parcels for sale (that aren't ridiculously expensive) and I found one with very similar aesthetics to the one I wanted, but most of the good looking parts have restricted access, which convinced me not to get it.
I found some 16m² road-side parcels that actually had much stuff built nearby, and one was very close to my house. But there weren't any locations I really loved... which I should wait for before I get anything. Maybe I'll look in a few months
Actually, better idea:
Instead of putting an ice cream stand somewhere with a 5 LI budget, just make a nice looking, bigger ice cream shop at my house.
It's really minimal but I think it looks great, and the plants on the gazebo fit Sherbet's aesthetic.
I'll want to set it up so that you can actually get ice cream from the display, which won't be hard.