Well it's not the Kuznetsov but I couldn't resist having a go at her big hitting escort the Petr Velikiy - but thought I'd approach it from a different direction:
"
Harpy Swarm" Large numbers of small, slow, cheap 'suicide' UAV's.
Israel produces a couple of suitable systems that have been fairly widely exported (China, Turkey and others).
http://www.iai.co.il/2013/36694-en/Business_Areas_Land.aspx
So I set a very quick scenario:
Red = Petr Velikiy, 100nm off the coast under full EMCON
Blue = 1x Harpy TEL (48 UAV) ARM seeker head, 1x Harop TEL (48 UAV)
1x Hermes Jammer UAV and an E-3A to supply locating data.
Once the E-3 had a fix on the Petr V. I launched all 48 Harop's closely followed by all 48 Harpy's on a BOL.
The Hermes jammer ran along between each swarm.
The Harops got in close enough that the first defences the Petr V. used were CIWS.
She took a good few down but enough got through to cause 39% damage, as she was under attack she also switched on her radars and the Harpy's soon got a target emission to lock on to.
Petr V. sent out SAM's but many were jammed, CIWS also got involved but again engough UAV's got through to leave here with a total of 60% damage.
The Petr V's expenditure was
------------------
56x 30mm Twin Gatling Gsh-6-30KD [375 rnds]
109x AK-130 130mm/54 Twin Frag Burst [2 rnds]
34x PK-10 Flare [SO-50]
55x SA-N-11b Grisom [9M311K-1]
32x SA-N-20b Gargoyle [48N6M]
69x SA-N-9 Gauntlet [9M330-2 Kinzhal]
------------------
I also tried a run with the Petr V's radars on but it was pretty much the same story, she started shooting at longer range but jamming took care of most of them. Without a jammer the UAV's don't even get close!
These UAV swarms are certainly not an alternative to other forces, but a couple of well timed swarms can not only do some damage but could keep an opponents air defences busy whilst the bigger ASM's follow them in.
Edit:
just to add that I think the Harop might be a little too effective in Command.
The Harpy could easily cause serious damage to radars/sensors but I doubt the small Harop warhead would do as much damage against a Kirov hull.