No? That leaves you with a bit over $3k monthly post-tax in a no-income tax state for benefit of the doubt. Applying the 30% of income rule landlords commonly use, that means you can afford about $900/mo max. The average US rent is currently >$1600.

Checking my local area, you'd be able to afford 0.5% of the current listings with that income. I'm certain that most of those units are low income housing with special application processes and eligibility criteria though.