I had an opportunity to handle the FNX 45. Sadly, I came away unimpressed. Having handled other FNs, I expected it to feel better than the FNP, not cheaper. I had really wanted to like it.
Haven't messed with H&K 45, but the 9mm & 40 S&W USPs felt very good to me. I didn't handle a .45 version. I expect H&K45 would be a nice pistol, once one's eye's stop watering from the price.
In that price bracket, the Sig 220 deserves a look. If your willing to bargain hunt a bit but still just have to buy Eurozone, the CZ97 probably shouldn't be ignored either.