Hi Chuck,
I think everything you have done with Mayflower so far has been very plausible. I'm on a crash course in 16th-17th century ship design, but even as a newbie some models or interpretations show careful thought that suggests they are worth studying. I've been doing a lot of looking, and its paid off - the Professor's Hancock and Phantom, your Mayflower, the Texel ships, Millard's ships, the Science Museum models, all have something I like and want to be able to do justice to.
When I started my Mayflower I wanted to represent a common vessel, something that sailed in and out of ports with little notice, something the Dutch engravers rarely represented. The damaged condition of the Mayflower kit allowed me to go with a hunch and omit the upper cabin, getting a less imposing appearance. I wanted a weathered look, like a ship which has been to sea, and I wanted its decoration to be present but also be understated.
I'm more at home with paintwork, and figuring out styles and trends for a given era, but the rigging is a different story - I thought there would be precision rules and hard and fast data that would bring the Hounds of Hades if I got it wrong. The Professor's recommendation of Brian Lavery's book has been very welcome, and Anderson's book has been equally helpful. Now I'm learning where there is open room for interpretation, and which options are better, or equal, or simply unknown. What remains to be learned is the practical side of how to rig models, how to get an even set of shrouds, how to set up parrels and so on. Tips like smaller is better and a few actual sizes of model blocks, etc., have been very helpful.
Putting this into action, I now see the Revell supplied thread is too large, and I'm getting smaller sizes to replace it. The temporary positioning of the ties was still exciting, though, because it started to come to life. Getting smaller and finer lines to keep it in scale will be great.
On your dilemmas, I'm using a sling for the spritsail yard, small parrels for the topsail yards, and dont have a clue what the backstay runners should be doing.
Jim