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Are there alternatives to double currency account to manage payments in different currencies?
Cheaper and faster are usually mutually exclusive. If you want faster, nothing is faster than cash.  I would recommend using an ATM to withdraw cash from your USD account as Florints and then use as appropriate. If you want cheaper, then the cheapest currency conversion commonly available is foreign exchange / transfer services like OFX / XE Trade / Transferwise.  Turn around time on these can be as little as a business day or two but more commonly takes a few business days, but they typically offer the best currency exchange rates at the lowest cost.  If you must make regular payments to 3rd parties, you can set these services up to send the converted currency to a 3rd party rather than back to your own account.