The ATF Form 20 or the ATF 5320.20 Application to Transport NFA Firearms is required when you are transporting your NFA firearms across state lines or to an address that is different then the address on your ATF Form 4 or ATF Form 1 that contains the ATF Tax Stamp.
Yes. You can add a responsible person/co-trustee to your NFA gun trust who lives in another state. The trustee that lives in the different state will not however be able to use and possess the NFA firearms in a state that does not allow possession of the NFA firearms. The trustee will only be able to use the and possess the NFA firearms in a state where you can legally posses the NFA firearms. The NFA laws vary from state to state. You will need to check about your local NFA firearm laws to see which apply.