Most bank money is government backed which is why it has so many rules behind it. You need a lender who is playing with their own money and own rules.
A 2 year business history is a standard ask of most lenders. Do you have a history of flips or an existing rental portfolio? A hard money lender or hungry local bank will probably be willing to work with you if you have some type of background even if it isn't two years with this particular LLC.
When I called around to hard money lenders I found one willing to offer a $1MM line of credit. It was at 9% and I would have had to pay 4 points on the money borrowed. The deal I was looking had a margin similar to what you are looking at and I decided the financing costs were too high relative to the risk and potential return.
The less qualifications, history, collateral, etc. you bring to the table the higher your financing costs are going to be. On the lender's end, why would they lend you money at 5% with no financing fees when they could lend that same money on a much safer 20% down payment fully operational house.
Looking at your potential example deal: $150,000 sale price. 6% fees to realtors and maybe another 2% in closing costs. This leaves you with $138,000 coming your way closing. If you're buying at $100,000 and putting $30,000 into it you have $8,000 left over for profit, financing charges, holding costs, etc. That would be pretty thin if you have high financing costs or anything unforeseen comes up during the project.
Long story short, you can find the financing you are looking for if you make enough phone calls. If you have a lean deal the financing is going to cost too much. If you are buying low enough and selling high enough the cost of your financing doesn't matter.