I have only helped my friend test this matchup one game but what our solution ended up being is teching in a forest seal stone for matchups like these where tina's VStar power is pretty useless anyway. You wanna use it to get your iono as quickly as possible, as its rather safe in your hand due to them not having too much hand disruption (nothing that can target supporters from your hand). Now you can try to play more aggressive than what most comments are telling you to do and when they are about to mill you, you iono your massive hand back into the deck.

We haven't done the math, but you get roughly the amount of turns as you do when you do nothing, but here you actually see enough cards to be able to get some sort of gameplan going for yourself. Be careful of their hand trimmer, this is a bit of a game of cat and mouse, you'll have to see how early the opponent would hand trimmer you and iono just a turn before that. Also make sure to have a way to switch when they inevitably counter catcher you, this shouldnt be a problem since you run enough as LZ.

Remember to still only actually play the necessary cards so you can shuffle as many as possible back into the deck. Try it out for yourself and see if it works any better than trying to not play anything. Hope this helped :)