all tigs can be run as stick welders. they probably have the stinger in a box somewhere and just never use it.
I'd rather TIG it with that rod than stick weld. you can remove the flux and TIG using that as filler rod. You may want to preheat before the repair, but a block is awful big.
https://www.youtube.com/watch?v=-XUbzw6p83Q
I have a TIG (and stinger for stick) but I'm way south and Jerry's guys are likely far more skilled.
Stick, MIG, and TIG are all arc welding
SMAW - shielded metal Arc Welding - Stick
GMAW- gas metal Arc Welding - MIG
GTAW - gas tungsten Arc Welding - TIG

Other repairs use high nickel content filler rod for cast iron. Cast iron is hard. it can be full of crap and there are many grades. I've used Si-Bronze and Al-Bronze, but it still isn't as easy and the interweb makes it look.

http://www.weldingtipsandtricks.com/...cast-iron.html