Have you tried looking at Tax Lein sales? This is when a county auctions off properties of owners who are delinquent in their property taxes. This is a great way to get your hands on some property at a fraction of the cost. The issue is that it's an auction and you'll be bidding against other investors who have bigger pockets than you (pun intended!). Nonetheless, you may be able to get your hands on a multi family home.
Also consider doing what you don't want to do in order to do what you want to do. Since single family homes are in abundance, try a few flips there or convert to rentals and build your savings for the more expensive stuff that you want to do.
Back to the tax lein sales, you can look at other surrounding counties that aren't too far from you. These sales are by the county so their could be 5 happening around you within a 60min drive. This, in a way, increases your chances of getting your hands on something. Just remember to get your eyes on the property before you buy. Google Maps is ok but sometimes they have old pictures. You can see a pic from two years ago but the house could have burned down to the ground a year ago.