I also play Tina.
ispep, I play Gremlins in the same league as you, and have won half my games with them.
During the early game, I ONLY use my 11+ for Git your Bro, and usually have no problem casting it 4-5 times by the end of turn three. I cast it for my first activation, use Take A Swig to heal the Gremlin that I'm casting off of, and then cast it again with Reckless if I have the card in hand for the cheat. If I can't cheat it the second time, I use Reckless to use Take a Swig to heal So'Mer. Barring a Black Joker, the worst I can do on that is to break even on wounds.
I did cast Parasitic Infection once. It was yesterday. I had run Sonnia out of soulstones, and had the 13 crow in my hand. My opponent would have needed the Red Joker to resist, so I went for it and turned her into a bug. It was nice.