You have ~$400k in net worth.
You
should have the ability to save ~$200k per year while these great jobs hold out.
A little napkin math assuming 0% investment returns puts you at millionaire status in just 3 years.
You'd hit a FIRE number for LCOL areas in a little over 4 years.
Work another 6-10 months and you could pay cash (no mortgage) for a nice remodeled house double the size of your apartment with a nice back yard in about 60% of the U.S.
Speaking from experience, the next 5 years of your life will pass in a blur. Might as well get financially strong.
Maybe living in a nice Wisconsin or Tennessee suburb is not your thing. That's cool. But acknowledge exactly what it is that you want:
A specific (too specific?) vision for your child's upbringing with more outdoor time?
A more luxurious lifestyle, but while not becoming a driveway-to-TV suburbanites who accumulates manufactured stuff in their 2 car garage to cope with feelings of despair, anxiety, and boredom?
A cultured lifestyle involving things like arts, food and entertainment traditions from other cultures, economic opportunities, and world-renowned educational centers?
Relief from the boredom/depression of living in an apartment with 3 windows and surrounded by pavement?
Neighbors you like and befriend?
Connections with specific local friends and family members?
This analysis should reveal additional options to obtain what you actually want, rather than the shiny object of current obsession.
For example, if the apartment is depressing, consider asking if you can change some things at your own expense, such as window treatments, paint, lighting, or even flooring. Could you upgrade apartments and get more natural light and proximity to parks?
If the imagined future state is more about being able to connect with friends, family, and neighbors, what else could you do right now to make such things happen? Social distanced coffee meet ups on Sunday mornings? Organized hikes?
If you are afraid your child's childhood is being diminished, I wouldn't worry too much. Kids can adapt to or be miserable in any circumstances. Do more field trips to parks and trails.
If FOMO is the problem, consider doing some Zillow searches to see what you could buy outright for $150k in every state. This will put some perspective on the decision to go hundreds of thousands into debt betting on a housing market that is already beyond most people's affordability.
Finally, if FIREing to the Midwest seems like a solution only slightly better than going to prison, take an actual look at the cultural activities that are available in cities like Dayton, Nashville, Kansas City, Hershey, Greenville, or San Antonio. It's visually guaranteed to be more than you can consume. Most of these sorts of cities will have revitalized inner cities or arts districts where you could buy your dream house outright for less than a year's work in LA.
Lazily-gathered examples:
https://www.zillow.com/homedetails/2850-S-Holt-Rd-Indianapolis-IN-46241/167300314_zpid/https://www.zillow.com/homedetails/909-E-79th-Ter-Kansas-City-MO-64131/2425367_zpid/https://www.zillow.com/homedetails/238-Oak-St-Dayton-OH-45410/35082034_zpid/