Hi @Dan Walker -I have had a bunch of clients who have had great success with utilizing Series LLCs particularly with purchasing single families and purchasing pools of notes. The only state I would not recommend using a Series LLC is Tennessee as it doesn't seem that the series LLC mechanism that the state offers is well honed. Illinois seems to do the trick as do Nevada and Delaware.
As for financing, you can always open another LLC in that state for the purpose of purchasing a particular property. I wouldn't let that discourage you. Also, I had clients that purchased multiple mobile home parks throughout the mid-Atlantic all with separate Delaware series. All of them were financed by traditional banks. Again, it matters on the lender, so don't let that discourage you.
Google search "Delaware series Limited liability company real estate" and you will find a great article. I would post it here, but I am not sure outside links are allowed. It is not an article I wrote.