I'm not 100% sure but doing it via Wise might not work. You can do swift bank to bank transfers via Bangkok Banks mobile app. I'm not sure if there's a transfer limit.
I've been around in Thailand since 1989,and in Pattaya/Jomtien since 1994. I've been living in 3 provinces. I think there's not much I don't know about anything in Thailand. Get it? Transferring stamps to a new passport should not cost 500 baht anywhere in Thailand.