I have used both the Concorde and the Tu-144. I personally prefer the Tu-144, it has several variations of range, allowing for more flexible operations.
Both planes can reach a dop of ~300-600k, depending on the routings. The issue is that the planes are extremely expensive, so they won't really earn themselves back, not even with a daily profit of 600k (maybe the Tu-144S can, it only has a range of ~1300nm and is much cheaper).
My general advice for Concorde/Tu-144 (and other very expensive birds) is: Only buy them for the prestige, don't buy them for the profit.