I overhauled my deck totally after a couple of failed attempts, and went back to using the Lyrian Banner and Meve Longsword, to increase my unit strength - rather than eliminating their units.
I won the first round quite comfortably, got up to something like 50 v 10 before they passed.
On the second round I decided to go for victory, so used my Mahamhak Ale trinket, then later I brought out about 5x Stray Slinger+ using the Reinforcement trinket, then used their 3 shots each for 4 damage, to gradually damage their units, then used Reynard Odo (summoned by Black Rayla) to refresh their orders.
I also had a bunch of Knights that summoned from deck when Neve used her order (with Loyal) which helped my overall strength too. Then again so did Gascon - since his strength benefitted greatly from all the movement the slingers caused.
So doing that, carefully not to eliminate units, this reduced opponents strength by (5x 4 x 3 x 2) = 120 pts over the round, which meant they ended up with a whole bunch of low strength units clogging up their melee and range rows.
Don't know if this is a repeatable strategy, but worked for me !