Due to other commitments I've not commented on here so much lately ...
Be assured that your contributions have been greatly missed!
Some sixty years ago, when I spent all my school holidays there, Kilmarnock was a bustling place, somewhere to be proud of. A combination of particularly crass sixties "development" and the loss of major employers - Massey-Harris (Ferguson), BMK carpets, Saxone shoes, Andrew Barclay locomotives (though it survives in a lesser form), Shanks sanitary ware and finally Johnnie Walker, Kilmarnock's own whisky blend - have created a depressed and depressing town centre, with little to show but the odd grotesque statue. At least when walking back from Rugby Park, the station's floral clock is still visible all the way along John Finnie Street. That apart, well, there's always the Dick Institute! A few years ago it was classed as the worst place to live in Scotland, though on the most recent visit, I noticed signs proclaiming it "Scotland's most improved town." It has a way to go yet - Microscopist should consider himself fortunate to have Ayr as his local town centre.
Returning to Whistleblower's question - which I suspect was hypothetical - Rugby Park is a decent enough ground, though without particular character - and it is the home of the Killie Pie. Depending on preferences, my suggestions would be:
A pleasant old-fashioned small ground in an agreeable park setting: Dalbeattie Star.
For lovers of sea air (and breezes!): Arbroath
For an interesting, if partly run-down, example of how to squeeze a ground into an unsuitable site: Raith Rovers
For midge enthusiasts: Darvel
For connoisseurs of primitive toilet arrangements: Cambuslang Rangers - and a few others in the West!
In fact, almost anywhere might have something to offer, but with apologies to Tweed and Steelman, Motherwell is best avoided by anyone over 5 ft 6.