I think you may have misunderstood what I was saying. Firstly, yes I agree that cross chaining is not a great idea.
OK apologies for misinterpreting that, although I think you can see how it could be misread.
Having had a play with the gear-calculator (thank you for the link) I think that choosing 50-34 and a cassette (say 12-27) and reducing the chain angle to <2.1o greys out those 'cross-chaining' ratios. You can then see all the ratio jumps (%).
When touring alone one of the exercises that passes the time is calculating ratios to see where the next gear is (slightly sad I know, but harder with a triple, and a crib sheet would do me out of that fun).
Going back to the OP's key requirements, though, I think the desire to have as short a gear as possible for keeping up with the (CTC) Jones's
and a wish to keep the ratios close are mutually exclusive, unless he goes for a triple. This would be rather more expensive than a new cassette and rear mech.