I understand that those with access to real property would likely feel they have a stake in the country and a higher likelihood to defend it.

Yes and genetics too. People that own property will likely have better genetics so you concentrate power and wealth in the best of the best. This creates competition which is good for natural selection, which will improve your nation over time.
On the other hand, equality is dysgenic and boost the worst in society which removes competition and it will worsen your nation over time.

If someone doesn't have a stake in a land, and they're not able to vote what are the benefits to living within that country?

Would you rather live in Scandinavia or Saudi? The benefit of living in the country is that it's a white wealthy nation with good genetics.

If women aren't able to vote and are effectively fuck cattle, why stay?

Women having free healthcare, safe streets, food on the table, nice clothes, the best technology available, great infrastructure, lovely kids and a husband that loves you.
Women voting will remove those things long term. But why stay, right?