I think minting a 1 trillion dollar coin would be a disaster for the dollar (great for Bitcoin). I've read they could reprice the gold reserves they hold and come up with 500 billionish. That seems like more reasonable? Assuming they aren't going to negotiate or pass the House bill.
That option is the least likely emergency option based on current conventional wisdom.
The most likely will be Biden invoking the 14th Amendment which would turn this into a court battle that is even more uncertain of its outcome.
The obvious answer is to agree to pay the bills that we've already incurred and fight it out over budget talks.
Remember that a countries debt is not the same as an individuals debt. As long as our GDP to debt ratio is solid (and it is, it's one of the best in the world right now) that debt isn't as terrible as we think as an individual.
For example it's like a credit score. It also is a war dissuader as less countries will want to bomb us if their economies depend on us.
Also, the dollar is the measuring stick that all other currencies are measured by. When we have economic issues....the world has issues. That's not the case when like Greece declares bankruptcy.
Lastly, also keep in mind that our debt is overstated by the debt incurred to our internal governments.
Example being if the water cooler was a country and I owed Murt $100, and he owed Danc $100, and he owed Goat $100, and he owed Marvin $100, and he owed COH $100 and he owed Mark $100....that's reported as $600 of total debt.
In reality it's really $100 of true debt because if I paid Murt $100 and he turned around and paid Danc with that $100 and so on....all the debt is paid back.