VPI Traveler and Lyra Delos

Jonathan Carr, the maker of Lyra cartridges has stated that his cartridges require a high quality arm because they transmit a lot of vibrational energy to the arm. This energy must be damped or dissipated properly and the arm bearings must be very rigid so that the arm does
not rattle.

 True. It works best with stable Arms which also have a rigid bearing and superior energy transfer. Otherwise it lacks bass, is thin sounding and is far away from its abilities.
Of course you can try it and when you spent the money you will be impressed but I think, you will hear only 25% (max) what it can really do.
when you look for an alternative for your combo, check out Zyx. They do not reflect so much  and will work better in this Arm.

what is a good match? Everyone will give a different answer based on his experience. I think, it is ok, the Kleos has a different needle than the Delos. the Kleos is more expensive than Delos but inferior  in comparison when you really want to have maximum sonic Performance for given money. The Kleos works way better with cheap Phonostages or average Arms than Delos. The better the analog chain will be the Delos can follow and show something new, Kleos not. From this point of view the Kleos is a good match.