@RJ McCoy Your strategy is feasible as far as it goes but a big part of making that work is finding a deal where someone is willing to sell you a property that only needs $10k in work for 70% of it's market value. Under current market conditions in that price range for most parts of the country there is a huge amount of competition for distressed properties sub $100k.
It's also important to understand that FHA has pretty strict condition requirements and so a distressed property is likely not going to qualify for FHA financing depending on what repairs are needed. This is important for the possibility of your loan getting approved but also a major factor in a seller's decision to accept an FHA financed offer over an investor who is paying cash or financing with a conventional or commercial loan.
I would suggest taking a different approach with your FHA loan and looking for a property that you would want to live in for an extended period of time but also would cash flow if leased it after satisfying your FHA owner-occupancy time requirements.
The house we are currently living in was purchased with that strategy in mind. It's in a neighborhood that we love and the house is a great fit for us personally but we leveraged FHA financing and the local state housing authority grant program to get into the property for no money down and a PITI payment of $950/month. The property will currently rent for $1300 (at the time of purchase was closer to $1200). Not going to make huge returns at those numbers but if you maintain it well while you live there it can be a great way to start building your portfolio without a huge out of pocket cost. Additionally, because we bought in a popular owner-occupied area, we've seen the property's value appreciate over %9 in the past 3 years.
Food for thought. Best of luck with your investing!