Under SHVERA, E* is required to assign every part of Alaska to one of the state's DMAs, even if Nielsen doesn't. So your only legal option is for E* to offer you locals from Alaska (probably Anchorage as you suggested).
A side effect is that the same law also sets a deadline for E* to offer HD locals in Alaska; there is none for the "lower 48". (I don't remember the deadline as I'm not a regular here anymore.)