what are some body and mind cards that can help discard your shitty hand and draw another

Short answer: Body/Mind barely has real "discard a bad hand, draw a new one" filtering — that effect mostly lives in Chaos/Fury. Here's what actually exists in your two domains:

Mind (Blue)

• Hwei, Brooding Painter (5E champion) — the only true rummage in Mind: "When I move, draw 1, then discard 1," with a bonus based on what you ditched (Spell → draw 1, Gear → ready 2 runes, Unit → +3 [S]). Pair him with move effects and he's a repeatable filter.
• Gutter Palace (4E gear) — discard 1, [T]: play a 1 [S] Bird token with [Deflect]. Turns dead cards into board presence, but no draw.
• Pure replacement draw (no discard, but fixes a bricked hand): Progress Day (draw 4), Premonition (draw 3, Reaction), Consult the Past (draw 2, Hidden/Reaction), Renata Glasc, Mastermind ([1] rune: draw 1), Stupefy (draw 1, Reaction).

Body (Orange)

• No discard-draw filters exist in Body. Your draw is limited to Spoils of War (draw 2, Reaction, cheaper if an enemy died), Confront (draw 1), Mobilize / Catalyst of Aeons (draw 1 if you couldn't channel), and Qiyana, Victorious (draw 1 on conquer).

If you really want the "pitch hand, draw again" feel, you'll want a Chaos splash, since Mind and Chaos share the Swift Scout legend:

• Invert Timelines (Chaos, 3E) — the only true full redraw: "Each player discards their hand, then draws 4."
• Traveling Merchant (Chaos, 2E) — discard 1, draw 1 every time it moves (repeatable rummage).
• Doran's Ring (Chaos gear) and Zaun Warrens (colorless battlefield) — discard 1, draw 1 on Conquer.

Bottom line: if you're locked to Body/Mind, Hwei plus the big Mind draw spells is your best filter package; actual discard-draw engines need a Chaos splash.