-BTC support is NOT A MUST (would be good but there is none on the market)
Wirex has virtual cards with BTC support if you are in Europe and at the time I did verify my account they didn't need too much data.
They have it for more than a month now. It's a reissue after the problems all cards had in January.
BUT WITHOUT the inbuilt crypto-interface
I'm not sure what you mean here.
-BTC support is NOT A MUST (would be good but there is none on the market)
-load funds the regular way by bank transfer,...
I've read nice words about Revolut here and there. I didn't use them (and I may be wrong), but it's an idea too.