Cold E-email from a non-target in a country that DOES NOT have the culture of students reaching out

Hi all,
First some context : I'm a bachelor student with FUNDED startup experience attending a non target uni, which is situated in an european country that does not have the culture of 'hustling' your way to IB/Fin. Services jobs; The spots are insanely limited and the competition is fierce to the point where helping out probably means raising your own competition. Getting responses from alums is hard and the typical path is bachelor + masters before interning.

Having that in mind I chose to change the general location of the people I am reaching out to (on linkedin), and I am having great results with maybe 1/3 responding and setting up a call. Though being overseas the chances of getting a visa + internship are smaller.

But since I am trying to get an actual internship for the summer, I want to cold mail people at firms that would accept me so and that has fairly simple visa requirement (im EEA national). (I've even made a financial model AND equity research report & have access to bloomberg terminals) Does anyone have success in doing so preferably in europe, because i doubt they'd sponsor me, even if i work for free. Could you share your stories ? Your templates? Anecdotes?

I hope this post isnt just some slop to you, ANY help would be  greatly appreciated.
Thank you for reading.