Should I buy a house in cash or invest the money?

My wife and I (30 years old) recently came into a large windfall of $400k. We've had a dream of owning a home, but we figured that wouldn't be possible until much, much later. This windfall allows us to do that, but would it be a dumb move?

1. We don't have any investments.
2. We don't have any debt.
3. We'd like to purchase a home in the next two years.
4. We work minimum wage jobs.
5. We have about ~20k total in savings.

Should we be trying to buy a home in cash ASAP or seek to invest, potentially delaying our dream for longer than 2 years? I don't think we'd be down to do any investments that are medium/high-risk.