You can raise the money yourself, banks aren't going to lend to you for the downpayment for ANOTHER loan, doesn't make sense. They want you to have actual skin in the game not just a shell game of multiple loans.
As @Brian Adams mentioned, your general investors won't be on the loan but you may need to bring in a signer or a key principal (KP) to help get the lender comfortable in lending money to you..In this case the KP would absolutely be on the loan with you.
I am working on a 588 and same thing; myself and investors are contributing money for the downpayment, closing costs, rehab and working capital. I have one of those investors who agreed to be on the loan with me so they will be vetted by the lender as well. I give a KP a piece of the equity, in addition to the equity piece for their pro rata share of the cash raise, for putting their name on the loan.
Short answer, you gotta get out there and start spreading you gospel and raising money.