Ugh, Shadow Hawk... (Seriously, i started to dislike the thing in HBS' BattleTech, i never could figure what i'd do with them [without replicating the Griffin or Wolverine] and i never got 2Ds i could fit better for close combat).
Fine, a Mad Max MechWarrior gotta drive what they have. (I wish i had at least 2D model, if i can't have a Wolverine or Griffin. It is stupid but at least it has some extra firepower.)
So, what do i do?
If i'm alone, i'm gonna beeline toward my target (don't really care what it is), firing all my weapons constantly. Then i'll beat and kick it until it or i go down.
Smart commanders don't let me go alone.
If i'm not alone, then i figure the Shadow Hawk is best used for fire-support. The Griffin is better for this but essentially heatless AC/5+LRM-5 is OK in Mad Max era. Find good shooting position, keep firing with the AC and LRM. The ML and SRM-2 exist to discourage others from coming close. I hope i'm adding my fire to a JagerMech's or a Catapult's (or equivalent), what i do is not much but every bit helps, probably more than one ML and SRM-2 help in close combat.
Figure the Shadow Hawk is better suited to accompany bigger and/or slower 'Mechs, it isn't as mobile as its brethren so it could be a hindrance in fast jump-capable cavalry, but it is just mobile enough to move around to add its firepower for close defense as necessary.