Hey sorry I have been away for a bit so didn't get to respond. The reason I went on the cavern plan is every deck in my meta is jamming quad misstep. Uba mask invalidates all other counter spells which just leaves targeted removal. I have an event this weekend and I will test out which route I prefer. I do however understand the barbarian ring approach and if I give it more time might find that to be the proper route.
While Uba Mask is awesome when it hits the ground, I think you need to be a little more careful with statements like "Uba Mask invalidates all other counter spells". If you have mask and two welders, ya you're golden, but just having Uba Mask out doesn't stop your opponent from using the counters they have in hand, nor does it stop your opponent from casting or playing instant draw to a spell you've just cast and then using a counter they've just drawn. It also doesn't stop Dark Confidant, Gifts Ungiven or Dig Though Time. Sensei's Divining Top is also fairly good vs uba, since you can arrange when you'll draw the cards you can afford to play and the ones on the top deck you might need.
Sufficed to say, playing against a landed Uba Mask is very hard , but I think your language in describing it is a little strong.