Speaking as an actual Shenlong player a number of things work.
Kiria is the most challenging her vengeance ability really stacks up particularly as the onslaught trigger is just as important (it generates Chi rather than consumes it) as the irreducible trigger. Same is true of her favourite secondary beater Yasanori that depends on onslaught and hates chip damage. THis is also true of terrifying models, it matters, draining hand of of low cards and moderates works because of how Drunken Style works.
Shenlong hates the totem outside of reckoning, such a waste of resource if the bloody thing pops right back up after killing.
Any model that prevents attacks generated by charges and or retargets attacks, Ashagari have been super effective in disrupting a Shenlong.
Kill the scheme runners and totems. I have lost games whilst murdering a crew because they have sacrificed their beaters to kill my point scoring minions.
Don't be scared of the Charm Warders they are a great model for 7 points but they have to be up front / in melee to be truly dangerous to a summoner and they have nothing but chi to keep them alive.
Shenlong will have ways round most counter picks but remember all of those way round will be way less efficient than Drunken River Style spamming onslaught/irreducible
I have been beaten by a number of times by Resser masters, Kiri, Von Stuck and Yan Lo (That was in TT but I believe the approach was transferable). It always been because of smart picks, smart positional play and making that game winning choice when it matters.