Move wire to side of joist and use wire U-clips every 4 feet along the length of the wire to tack the wire *at least* 1 1/2" from the bottom of the joists.

Use furring strips perpendicular to joists to make drywalling easier. Will make straight lines for you to screw drywall to and give you a 3" width instead of trying to screw two meeting edges of drywall within the 1 1/2" width of your joist which may be bent/flexed and no longer perfectly straight.

Use correct length of drywall screws so there's no penetration (thickness of furring strip + thickness of drywall)