This deck is very similar to the decklist previously posted but more budget friendly!
Cards replaced: Kashtira Fenrir, Evenly Matched, Bystial's, Wallow and Baronne.
Cards added; Dimension Shifter, Dimensional Barrier, Ghost Belle, D.D. Crow, a 3rd Monk of the Tenyi and Leo, the Keeper of the Sacred Tree
Wollow is pointless in this variant of Swordsoul as there is no viable way to access it without the Bystials
Another card you could replace if you want to cut the price even more is Draco Beserker of the Tenyi which can be replaced with any other viable level 8 synchro. I recommend Crimson Blader as it's a very good lockout card against Tearlament, blocking them from accessing Kitkalos and any other high level fusion monsters, including Garura.