You can always try to transpose the Petroff to a 4 knights with 3.Nc3.
Now after 3...Nc6 (3...Bb4 is also a decent move, where white can get the bishop pair and hope for a small advantage) you can get the 4K flavour that appeals to you.
I suggest the Glek (4.g3) which leads to interesting play after both 4...d5 and 4...Bc5, and the resulting positions are certainly not drawish.
And of course the same system can be used against 2...Nc6.
Aside 4.g3, I have a terrific score as white with the tricky 4.h3!?, but objectively speaking it should be equal with good play from Black.
The only line I recall from the glek is the reversed halloween gambit, which is supposed to be better than the regular halloween gambit since white cant play Ng3:
Actually I have played this line as Black. It has no independent value, as after 4.g3 Nxe4!? 5.Nxe4 d5 6.Nc3 d4 white can play 7.Bg2, when there is nothing better than transposing to a normal Glek with 7...dxc3 8.bxc3 etc.
Sounds like a more safe alternative. I only remember watching some grandmaster game in the line that got insane quite quickly. Never played it or against it myself.
You can always try to transpose the Petroff to a 4 knights with 3.Nc3.
Now after 3...Nc6 (3...Bb4 is also a decent move, where white can get the bishop pair and hope for a small advantage) you can get the 4K flavour that appeals to you.
I suggest the Glek (4.g3) which leads to interesting play after both 4...d5 and 4...Bc5, and the resulting positions are certainly not drawish.
And of course the same system can be used against 2...Nc6.
Aside 4.g3, I have a terrific score as white with the tricky 4.h3!?, but objectively speaking it should be equal with good play from Black.
The only line I recall from the glek is the reversed halloween gambit, which is supposed to be better than the regular halloween gambit since white cant play Ng3: