Go green + black if you want to play deathtouch; You're missing A LOT of options.
Chevill, Bane of Monsters as commander, and get some more "fight target creature you don't control".
Add
Vraska, Swarm's Eminence, a must have in any deathtouch deck imo, as is
Viridian Longbow to snipe anything on the board.
Hooded Blightfang would fit nicely with your
fog cards, as it deals non-combat damages (afaik*)
Your "pseudo-boardwipes" cards are horrendous, again black color will give you much better options. But tbh it's unnecessary when you're playing deathtouch, the board will be clean anyway.
Mayyyybe too many "
fog" cards. Like, 15
fog + 22 creatures makes more sense than 22
fog + 15 creatures?
Not enough ramp, I'd take at least 3 more : 34 lands + 8 ramps is my go-to.
Your deck is ~100€ on cardmarket (150$ on CK), which is far from budget imo. Remove pretty much anything >2€ (adjust with U$D if you count things in washmachines). You can filter the cards by price when deckbuilding (type "<2" in the price filter to have prices under 2€/$)
Great potential, I like the idea of
fog + deathtouch cards.