You should consider to move to a 0% Personal Income Tax Country like Dubai or Panama - both jurisdictions have the Benefit that you have minimum stay requirements of 1 day every 6 Months in Dubai and 1 day every 3 Years in Panama.
Depending on your requirements you can go for a 0% Tax Panama Offshore Company or a US LLC - as you figured already yourself with US LLC things are not so clear when US clients coming even - even when people in practice still get away with it.
0% Tax Dubai Residence as Employee with a Salary and some local Substance like Utility Bill and local Personal Bank Account with either a US LLC or 0% Tax Panama Offshore Company is a perfect fit for what you looking for.
A lot of people are just living on EU Passport in some s**t hole in Asia or South America with US LLC an its working for them till its no longer working.
As you are from a EU Country with Aggressive Home Country Tax Authorities I would always go for Jurisdictions you can build more Substance or have more Substance already in place right away.
Think about future as well - investing or spending your Business Profits further - you can't open serious Investment Accounts for serious money with a Visa run every here and then in Thailand or Indonesia etc.