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> So the problem is that an US company cannot be GDPR compliant, because that conflicts with US law.

This is completely not true. First, most US companies are GDPR-compliant because they don't gather, store and process personal data of EU citizens. Now, those that do - mainly Internet companies - they need to abide by the terms of the GDPR (or not to serve EU customers, which for some is the easiest way - like New York Daily News). If you decide to store personal data of EU citizens, you need to do it using servers located in the EU, which, depending on the nature of your business, might or might not be easy, but companies had several years to prepare for that. There is no any conflict with US law anywhere.

Personally I was in a similar position and instead of choosing Mailchimp I choose Mailerlite, which is Europe-based and, being less popular than Mailchimp, (much) less expensive for the customers I have (with mailing lists in the range of 5k-50k contacts). It has its quirks but it works and I have no much reasons to complain.