What are you 4betting for value? If you're happy 4betting 22 or 44, then this is your best bluff. It would be different if you have an open ender and a flush draw, as you're flipping against KK. Then, you can jam.
Would of played it the same way. I don't like just calling OTF, once V re-raises there's no point in going AI, we have close to 0 FE, esp in micro-stakes. Very few people folding AA/Kx.
To your turn comment, don't think you can fold. Call and fold river bricks.
