What bank are you with? I have changed banks a few times because they froze my accounts going to perfectly legal kyc exchanges. Not sure how your going to get money to a non kyc exchange, probably the best way to get non kyc Bitcoin is to sell products or services. You can even use use nostr to do it.
Discussion
Thanks nostr:npub1lwy7trur3d7hz65gxq82rujnnllhsan25yfpasgfdzmtzzjf3u5q0v4zv0 I’m with the CO-OP and they did let a couple go through. I might give them a bell
Nationwide seem pretty good, Virgin aka Clydesdale Bank are iffy, Halifax and NatWest being RBS don't like it at all. I recommend always using bank transfer too cards seem to get flagged and I had a nightmare issue where binance somehow charged me twice and they were blaming each other for the issue. So I don't use either virgin or binance now.