Its not so much can his bugs beat her element jutsu, but more so can shino out think, trick her, create a strategy to find a way to land one bug on her is all he needs.
Maybe with zero knowledge on him she won't decimate the entire area, but the slightest bit of knowledge will have her going all out.
Boruto era shino has poison bug simular to torunes, also bug clones should be able to create a distraction to land a hit on mei
I will say Shino wins. He only needs one bug to land on Mei and Mei wouldn't know that it happens. After that one bug lands on Mei, it begins to eat her chakra and if it is the Kidaichu then it starts to grow in size the more chakra it gets. He can also make a clone of himself with the bugs and even if she had some type of sensory technique, the bugs have Shino's chakra so it still seems as it is him.
If she has a shred of.knowledge, she just uses Acid to melt anything in the room
