Quest Diagnostics Lab Services has partnered with an internet company called Lab Testing API to offer lab testing services for clients who, for insurance or other reasons, might need lab testing without the expense of meeting with a primary care provider. Requires prescriptions are written by an internet provider.
Their service details are available through this link: Lab Testing API.
Alaska Health Fair
Another good option is Alaska Health Fair which has an office in Anchorage. Find out details at: AlaskaHealthFair.org