I think i understand what you're trying to accomplish so you can try something like the example below:
%generate some dummy data
A = -abs(pi*randn(10000,1));
%display the rose
h=rose(A,16)
view(90,-90)
set(h, 'LineWidth',1,'Color','k');
%get lines for patching
x=get(h,'Xdata');
y=get(h,'Ydata');
%if you examine the x and y you see that the points are in order but go to (0,0)
%if deletion of 0 data from x,y points it should only have the perimeter
todel = x==0;
x(todel)=[];
y(todel)=[];
g=patch(x,y,'k');
%adjust the transparency of the patch so the internal lines show up
set(g,'facealpha',.5)
%now to delete angles and values
txt = findall(gcf,'type','text');
% delete the text objects
delete(txt);
