What *I'D* do with $5m cash? More of what I'm doing.
Likley find a good multifamily in Houston. Class C building in a B or better location. I'd aim for something with recent distress due to interest rates. Try to target about $50k/door for some ~$800/month rents.
Buy two different ~80 unit buildings, with about 50% LTV from a freddie loan (to get ~6.5% rates). That's 160 units. With a good 3rd party management company you're doing pretty well with the $4m invested.
Then I'd toss the other $1.3m into short term (~5.5%) treasuries to make an extra $70k/year of interest income.
In a few years, after the market has gone back up and I've added some value, I'd refi the two buildings with a local bank. With higher LTV (~75%) and a stronger basis, you should get all $4m you invested back.
Then I'd do the same thing again. Take those 160 units and rince/wash/repeate
PS, this isn't something that "Well if I were you I'd..." This is something I'm doing.
So there ya go. That's your plan.