Hi Henry,
I’ll jump in for Thomas here—thank you for your nice words!
Yes, you can have an Estonian e-residency company in order to provide consultancy service. You can still receive payments via Transferwise but you need to open their business account with your Estonian company. Many e-residency service providers have a platform with direct integration to Transferwise as well to make accounting more convenient. I recently wrote an article comparing the best e-residency service providers available. You might find it helpful when choosing your own.
Regarding taxes, usually, the best way is just to take out dividends as the owner of the company. You will have to pay 20% corporate tax, and since you are a perpetual traveler, that should be all the tax you pay.