Canadian Visiting US – Needing more than what travel insurance offers

To keep it short – I'm visiting the US to undergo a very simple medical procedure and they require me to have insurance incase something goes wrong. I don't need coverage for the procedure itself, but I do need coverage in the case that there is complications or something serious goes wrong (which would be very rare).

From my understanding, travel insurance would not cover this because I'm travel FOR the procedure and thus disqualifying me from any coverage, including emergency ones. I'm a Canadian Citizen and but I do not have a green card or US citizenship. What are my options?

Googling this has overwhelmed me so I'm hoping someone can guide me here. Thank you in advance!

Edit: I'm in my late 20s and will be undergoing this medical procedure in California. My income is high enough to allow me to apply for whatever insurance is best for my situation.

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