First of all, until you make a decision I hope that cash is in a high yield savings account. 5%+ right now!
Longer term, as I see it you could go a couple different routes. Personally I house hacked my first place - a 2 family - and I cannot recommend that route strongly enough. I paid PMI which feels painful but if you keep your eye on the long term prize it's worth it. The first place allows you to buy the 2nd and so on. I also lived in the more dated unit so I could get better rent out of the other apartment than if it were vice versa. It's all about what you're willing to put up with to get to your goal. Get a roommate, get a business partner, just start somehow.
Another great route to go could be a short sale. This may take quite a while but you're more likely to get good value. $150k should absolutely be enough to get you going.
You could also get advice from a fiduciary regarding investing in high yield ETFs. You'll want to be very selective but there are funds out there that return 10% - of course your principal is at risk in this scenario.
Or combine strategies somehow. My 2 cents.