You should not have a problem opening an Series LLC account with a state bank or credit union bank. 

If it's too much you can always move your business to small local banks / credit unions but there is another price to be paid.

This area of Florida has a lot of options as there are several military bases and of course the white sand beaches.

Try and use a small Local Bank, or even a Credit Union for any Loans.

Talk to Mason McFarland with Honor Credit union.

Recently, I’ve been interning as the COO for a Real Estate Investment company that handles flips, remodels, and out of state investments, with the goal of scaling the business for increased profitability.My military background has instilled in me core values like resilience, integrity, hard work, and effective leadership.

In our case, we are in a market with lots of young professionals and military (engineers, accountants, service members).

Even when posted abroad, my legal primary residence is always in the United States, similar to military members when they deploy.

Your best bet is definitely going to be a small credit union or regional bank in that area. 

The proximity to hospitals , downtown fort myers & military presence makes it the ideal location.