There doesn't seem to be any chemical means of controlling pine shoot beetles. Nothing effective has been developed yet. In Europe, where the beetle is native, the practice of debarking of cut timber as soon as trees are felled seems to help.
The pine shoot beetle does have at least one predator, Thanasimus formicarius Linnacus (TfL). TfL beetles feed on pine shoot beetles and each can consume at several each day. The problem with treating the infestation in the US with the pine shoot beetles natural enemy is the introduction of yet another alien species.
The only effective course of action in the US other than the timing of debarking the Europeans use is the quarantine of affected tree varieties from state to state transport, at least until a more effective means of treatment can be established.