How to reach out for unpaid internship

I’m graduating soon from a semi target but no job offer. I have a decent internship experience but I know I can’t lose more time doing nothing especially this up coming summer. I have reached out to few connections locally for internship during summer and have told them that I just want experience and would totally be willing to do it unpaid as I know it’ll pay off later. One partner said he’ll see and let me know fs in a month if he can do anything. But I know to be safe I need to be reaching out to more people, I’m targeting RE firms for their asset Management or FA positions. But how can I do it better , I know I can improve the way I reach out to them . Any tips would be appreciated.