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Skagit Transit operates hourly bus service from Anacortes to Mt Vernon. From there, you can catch Amtrak directly to Portland.

EDIT: Above poster indicated this might be suspended due to Covid, so double-check.

Or, since you like cycling, just bike to Mt Vernon. Should only be around a 1-2 hour ride. Not the most pleasant, but perfectly doable. or bike all the way to Seattle via Whidbey Island (longer but pleasant).

If money is no object, you can also fly (this is FT after all...). Kenmore Air (local seaplane company) operates regular flights from the San Juans to Seattle. You’d have to ship your bikes back, though.