The limitation on the free plan is certain libraries. Could you be more specific with what you are doing?
You could perhaps show the code you are using for one of your visualizations, or you could share a small app that duplicates the problem. Right now it’s hard for us to tell what’s really happening.
Generally speaking you can load data into a Plotly visualization in many ways. If you are using a Jupyter notebook I could assume that you are loading the data from a CSV file. If that is the case you could load your CSV file into a data table and create the visualization either in the server or the client side. But again, I really don’t know what you are specifically doing from what you gave us.