Stripe is not in Estonia, so we applied to Braintree. It took us a couple of weeks and we were rejected at the beginning, but finally they accepted us.
Also 2checkout can be an option too.
Also 2checkout can be an option too.
I wrote to them and I asked them to explain to me why they have rejected me. I told them I was an ex-customer and I could prove it. So they came back and they asked for an insane amount of information and documentation. Something I learned is the 'no-paper' model of Estonia is something Braintree doesn't like at all.
I had a problem with a very specific request, and Leapin helped me to get it in less than 24 hours.
So yes, go and try again!