Right ... let's spell it out for everyone who is trying help, but doesn't live here and can't appreciate just how bad it is.
Cycling - absolutely not. It's 2 & 3 lanes, all narrowed by concrete barriers, slicked with mud & filled with nose to tail lorries.
Walking - also absolute not.
Earlier starts - nope. Often additional road or slip road closures overnight, which make it worse.
Park elsewhere - nope. We're talking about a major dual/triple carriageway, not some city street.
Buses - depends on which bit of town we're trying to get to, plus the buses themselves get scuppered by the roadworks. Especially when the drivers miss new sliproads.
Look up notices on websites - we do... and they are not always accurate and often change last minute. The claim that we can be setting off not knowing what routes are open is absolutely genuine. Even apps like waze can't keep up around 8-9pm when the nightime closures are being set up. They also don't take into account the bedlam caused by zero signage, lorries getting stuck in villages, and folks frequently going the wrong way round roundabouts.
We're not exaggerating when we say it's hellish. We expect to take at least an hour to do 5-7 miles. It regularly takes 2 hours to get home.
If your job doesn't allow flexible working or working from home (eg teaching, nursing, retail...), then you're utterly screwed. We've had it for almost 3 years, and there's another year to go.
TL:DR - OP is not exaggerating, it really is that bad