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USD Account / Personal / Remotely / No Foreign Fees

I would like to convert some of my EUR savings into USD.

Therefore I am looking for a bank that fulfills the following requirements:
- account can be opened remotely
- offers USD as currency
- no SSN necessary (but I do have an ITIN)
- no US citizenship nor proof of address necessary
- no foreign currency fees - e.g. I can spend €100 and wouldn't pay any additional currency conversion fees
- you'd feel comfortable moving a 6-digit amount there
- generally reasonable fees
- support for Apple Pay or at least a credit card
- doesn't need to be a US bank but would be preferred

My preferred solution would be a brick and mortar bank like Capital 360 or Charles Schwab, but I forgot to go there in person the last time I was in the US and they don't do remote opening AFAICT.

I do have a Wise account, but they do charge conversion fees and I don't feel comfortable having such a high amount there. Same with Revolut and the other EMIs.
I don't think I am interesting enough as customer to go with Barclays International or Lloyds International, as I don't want to invest in their products and just move some money there which I then spend on my living expenses in another currency.

Do you have any other ideas?
bit late, USD will top out in the coming 6 months and then decline massively against other currencies.