If you are trying to evade being served, can a bench warrant be issued?
An investigator called me and told me that she had papers to serve to me and that if I did not pick them up, she would file a bench warrant for me. I want to know what I should do?
It depends on who the investigator works for, and what those papers were about. If the investigator works for the prosecutor or the Attorney General, you need to pick up those papers, because the warrant threat is not a bluff. Also, if you have a judgment against you, and the investigator is working for the judgment creditor's lawyer and they are trying to find your assets and income, you can be found in contempt for refusing to accept service, and that, too, can lead to a bench warrant.
If this is someone trying to serve you with the original summons and complaint in a lawsuit, it's far less likely that a warrant could issue. However, the plaintiff can use your evasion of service, sooner or later, to get a court order allowing service on you by publication in a newspaper, and the next thing you're likely to know about it is when your bank account gets attached for the default judgment they get without you. It's better to pick up the papers, and defend the case if you can.