Bookworm, can you file a IFR flight plan to a destination lacking IAP?
Yes.
But I think you're missing the point of the sentences you quoted from me. Even if there is an IAP, it may not have been assigned before the clearance for a visual approach is given, and a visual approach may be made to a runway without an IAP.
The FAA AIM states that... Needless to comment methinks.
The comment should be obvious -- that a visual approach under FAA rules is conducted under IFR, not VFR.