Another solid option, which is also lots of fun is to have speakertaps made so that you can run your headphones right from the speaker terminals of the Kenwood, or any amp for that matter. I drive my 400i that way, and I did that before with my TH 900, HE 560 and Sony Z7. All from the same integrated NAD. Frankly, if you have any amp with decent power supply or supplies, it likely is a good candidate for this. Planars love current, and big beefy power supplies can certainly generate current right?
Anyway, there is plenty of information here in the forums about using speaker terminals to drive headphones. I learned about it as I have a fairly nice NAD but it has no headphone output. I used to look at it and think, if it can drive big speakers with authority and stability, why not my headphones. Upon research it became pretty clear there wasn't a great deal to it so I had Trevor at Norne Audio make me some custom speaker tap cables. Really, really solid option and now I would have to be in the territory of those boutique Cavali or Eddie Current amps to drive my headphones better. I'm not sure about your Kenwood, but if it has been maintained meaning having the old capacitors replaced, which hopefully is the case, and the power supply is still performing well for the price of a decent headphone amp, say $300-350 you can have speaker tap cables made. Just a thought. Cheers.