Not much you can do, he's an amazing 5 star card. His only big weakness is SOA, as then he can be easily overpowered. There are some 5 star cards in elo where there is simply not much you can do. Just remember that other cards are sacrificed to fit a 5* in elo mode. Good luck!
Bring an SOA ability or two. Draw one and you can manipulate the draws a little.
Play a GHEIST/Roots half or mono.
Play clans with their own attack/power manipulation. There are tonnes of cards that work well against him.
Any SOAability card with 6 or more power (then add bonus)
Any SOA bonus cards with 6 or more power (then add ability)
He's far from omnipotent.
If you're having trouble with Jungo, there are ways to tailor your deck to help.
Soa and dr. She'll be banned most of the time so don't worry.
Dr isn't effective really. Versus the -3 she's still a 6 life gap, versus 4 a 5, even 5 and she's a 4. As she can cover low pill battles so well, Dr isn't the best option unless it has SOB.
Opponent usually does not start a round with Troompah, saving her for last. As most mentioned already, she loses out agains SoA. Also, high pill battles with at least 2-power difference (any 8 powered or something like Pilzken) can beat her at end-game if both sides have a large number of pills. DR don't seem to be as effective against her 9-life gap potential.
IMO Troompah is strong, but nowhere near as overpowered and other players make her seem. Artus does a good job of blocking her, but the idea is to pack some SoA without running a SoA clan ( so you wont be trapped to play SoA against Ashiko or something ). This week I'm running Junkz + Ulu Watu, high power wins out on Troompah with a few pillz, Qubik and Fuzz destroy her.