This might not be what you want to do, or hear; I know it wasn't what I wanted in my late 20s. But you could own a house within a year or so if you decide you want a house more than living in an expensive area.
I spent my 20s banging my head against an impossibly expensive area trying to find something and perpetually failing (in my case, NYC). In my late 20s I gave up, moved to a very suburban (borderline rural) area and bought a house right away.
In my very suburban (low density suburban, surrounded on two sides by forest) area the library is a 10 minute walk away at toddler-speed so my child has been an avid visitor as soon as started reading a tiny bit. Schools are also walking distance (high school will be a bit farther, but within easy cycling distance, about 2 miles). And yes, we have internet in the suburbs.
Once I got married though there was both more money and a realization that some possibilities (you know I might just pick up sticks and move across the country) were less likely. Plus expanding our family was very possible.
There's a reasonable view that says finding a spouse is a more major undertaking then finding a house. I honestly don't think that's the case. Go out on a date withe someone, if you enjoy it repeat that a few times. After 6 months imagine it'll be that way for the rest of your life,and then ask yourself, is it really that bad? If the answer is no propose marriage.
One of the unintuitive consequences of low interest rates/ZIRP is that the savings rate is abysmal. When I was a kid I remember my first savings account earned maybe 2 or 3% interest annually. Now you’re lucky to get half a percent. People are disincentivized from saving money and instead end up putting savings into investments, which are inherently risky.