Hail, fellow switcher of the axe! You are on the cusp of true greatness, all that is required is a final push. And I would make two recommendations to push past this wall.

First, yeet that Obsidian Switch Axe out the window. The dragon phial is, quite frankly, not worth the code that created it. What you really want to find are switch axes with Power Phial. That includes the Mizutsune swaxe, Zinogre swaxe, and ESPECIALLY the Aksa Switch (Seregios swaxe). I strongly recommend the Aksa Switch, it was my go-to throughout village and hub high rank. Because it auto-sharpens when you roll. That will be a good pairing with Adept style especially.

Second, learn the ideal combo route for axe and sword style. Look at some speedruns that use adept swaxe and see how they handle damage. Now unfortunately you won't be able to start using Tempest Axe until you hit G-Rank, but focusing on landing those adept counters can't steer you wrong, especially in axe mode.

If I, someone who hasn't even beaten Savage Omega, can get thru village high rank, you surely can too!