Lasker Trap escape?

This doesn't escape the Lasker trap really, it just concedes the power of it before it's even sprung and leaves the King scurrying around in the middle of the board. Why would anyone want to play the White pieces here? 4.e3 remains a mistake IMO.
If someone put a gun to your head and forced you to play 4.e3, then Ke2 probably isn't a terrible move (haven't looked very carefully) but it sure looks like a not very promising line -- the Albin countergambit isn't very good for Black in White's best known lines -- so why wouldn't white play known good lines if given the chance, rather than walking right into the trap with 4.e3? Unless there's a true refutation of the Lasker Trap -- ... but do you really think there's a refutation there, starting with the Bongcloudish Ke2?
Do you know the Traxler (aka the Wilkes-Barre) countergambit... it might appeal to you!
I saw an analysis that examines the position after 4...Bb4+, and only 5. Bd2 and 5. Nd2 were discussed. Both of those moves lead to crushing defeats if Black plays properly, but I noticed that 5. Ke2 is a third move that would escape check. I am sure Black would play 5...Bg4+, and then White can block with 6. Nf3 or 6. f3.

It just looks too ugly to play on. I would love this position as a gambiting player. Good thought though.

Yeah, after some thought, im pretty sure that Bf5 with the express plan of pushing that pawn and 'bitch slapping' your king into the middle of the board (which gets nastier than Bd2 I bet)
Well, it is ugly to play on. But I would rather take a chance with an unanalyzed line than with the two known lines that lead to death.