I think Cardinals, Bears, and Colts are all potential trading partners. All are short-handed in the mid-rounds:
CARDINALS
Round 1: No. 16 overall
Round 2: No. 49
Round 5: No. 160
Round 6: No. 223 (from Vikings)
Round 7: Nos. 243, 247 (from Bears through Raiders)
BEARS
Round 1: No. 20 overall
Round 2: No. 52
Round 3: No. 83
Round 5: No. 164
Round 6: Nos. 204, 208 (from Seahawks through Dolphins), 221, 228
COLTS
Round 1: No. 21 overall
Round 2: No. 54
Round 4: No. 127
Round 5: No. 165
Round 6: No. 206
Round 7: No. 248
Minnesota has a lot of maneuvering cheddar in the mid-rounds too:
Round 1: No. 14 overall
Round 3: Nos. 78, 90 (from Ravens)
Round 4: Nos. 119, 125 (from Bears), 134 (from Bills), 143
Round 5: Nos. 157, 168 (from Steelers through Ravens)
Round 6: Nos. 199