Tom, the problem with deeding after closing is that that may trigger the "due on sale" clause. The lender would have the right to collect the entire mortgage amount immediately, because the property is the collateral "mortgaged" (promised) to protect the lender. If the owner deeds it away, there is nothing to protect the lender.
Rafael, there are some lenders who will lend to a company, but they require either that the company have a history (P&L) that shows they are legitimate and know what they're doing or that the principal provide a personal guarantee of the loan. Sometimes, they require both. Companies with no assets other than the property you're buying would not satisfy most lenders. If your company has done this for the last few years and now owns a couple of other properties that have equity, then the bank will be more receptive.
Also, as investment properties, not owner-occupied, the bank will lend with a lower loan-to-value ration, typically 75-80%, although I have seen some at 90% not too long ago. If you're new at this, get started first and then look to move the assets into a LLC. In the meantime protect your personal assets by getting an umbrella liability policy. Once you have established yourself as a viable rental business person, then open your company.