I have no experience with it, but it could theoretically go with Google Drive.
How big are the individual files with the weights? As long as the individual files are smaller than 100MB, there should be no problems and you won’t need Git-LFS.
Should… 
I have not tried Git-LFS with Streamlit Cloud yet. But there have been posts here with reports that it doesn’t work, but no guarantee that this information is true, there is so much going on with Streamlit.
But I would rather not bet on this horse.
Or just give it a try with Git-LFS…