Use Plot Browser While in Data Cursor Mode

I have a figure with ~50 different sets of data plotted onto it (the below line of code is in a loop).

          plot3(scope_data(1:end,1),-scope_data(1:end,2),-scope_data(1:end,3), '.','LineWidth',2);
          legendInfo = [legendInfo regexprep(files(j).name,'.txt','')];

After all of the data sets are plotted, I go into data cursor mode in order to select specific points.

dcm_obj = datacursormode(fig);
set(dcm_obj,'DisplayStyle','datatip',...
  'SnapToDataVertex','off','Enable','on')

Things are great, I can select points and get the values I need.. but there is one glaring issue. I am relying heavily on the native "Plot Browser" in order to differentiate between overlapping data sets. Normally, in the plot browser, I can select a data set by name based off of my legend and hide that set or delete it. How can I hide specific sets so that I can focus on a select few while still in data cursor mode? Is this possible?

Thanks for any feedback. I'm far from an expert so apologies if I don't understand solutions right away.

TLDR: This "hide" does not work while I'm in data cursor mode - I really would like for it to