As far as other suggestions to acquire the property, no. Syndicating can be a great option, but trying to take on something like this as a first deal(is this your first? I'm not actually sure) could end very badly for you, and it would be incredibly difficult to find people willing to provide the cash anyway.
As far as the private money for the renovations, it really just depends. Just ball parking here, the value of the property is probably somewhere between $750k-$1mil based on cap rates that are roughly 6.5%-9%. So best case scenario, let's say $750k. Financing that entire purchase price at 5%, which is reasonable for seller financing, will put you at a monthly payment of $4,026 a month, or $48,312 a year.
Private lending is usually short term debt, 1-2 years. Funneling all the extra cash that you would have, even assuming there are absolutely no other expenses that aren't accounted for, you won't be able to pay off $100,000 loan in 2 years. So probably the only other option would be a refinance to pay off the short term debt, which would require you to be able to get that private money amortized at a longer time period, with balloon payments, or interest only payments during the life of the loan. Otherwise you wouldn't have the cash to make the payments.
But assuming that happens, and the new rents go up to $85,000, at the same 9% cap rate, the value of the property is now about $950,000. This isn't enough equity in there to pay off the seller financing of $750,000, as well as the loan of $100,000, and still have a good LTV ratio.
Long way of saying, I highly doubt private lending to finance the rehab will work for you.
If the owner is willing to do seller financing, the only way you'd be able to make the payments is if you can get it amortized at 30 years. It's possible, but I don't think I would recommend it. You probably wouldn't have sufficient cash reserves to deal with a potential maintenance emergency. Does it need to be painted? Something as simple as that could easily cost more than your actual profit for the entire year.