Hi Shawn,
First off, if you are new to this, it seems like jumping in and getting loans on multiple places might not be the best idea. For one, I don't know many lenders that are willing to throw a lot of cash at unproven businesses. Two, if you did find one, then having someone throw a bunch of cash at you when you don't really know what you're doing seems like a good way to put your family in a tight spot if something goes wrong.
My understanding of LLCs is that they're primarily for asset protection. Do you, your wife, and brother have a lot of assets that need protecting at this point?
If not, what is your (and your other partners) financial position like? Do you have good credit? Is your debt-to-income pretty low? If you all are in a good financial spot and bankable personally, my opinion would be to start out by taking personal loans. Money is so cheap right now and you can lock in great rates for a long time. Not to mention that you can put in low down-payments if you do something like a second-home mortgage or buy a place as a personal residence and move out after a year and rent it then.
Doing that plus having a good umbrella insurance policy to take care of any mishaps that might happen seems like a good way to build a track record while you all are figuring the short-term rental game out.