The question is supposing that "there is a need to replace the 158s, 165s and 166s that are plying their trade on regional express trains across the country"
It really depends on whether we ignore certain services currently run by 158/175/166s to focus on only the longer distance ones and, if so, where do we draw the line?
If it's to replace ALL 158/165/166s, I'd go for the 185 carriages, given the combinations of local/ medium/ longer distance passengers you tend to have on these kind of services, the peak demands and the passenger churn you often have at intermediate stations
I know that the OP was specifying a single train, so I don't want to be suggesting several different types to suit each specific route, but I hope it's not outlandish to suggest we build both three and four coach versions (allowing six/seven/eight/ nine coach services and allowing portion working, given that the old DMUs are a mixture of two/three coaches and the need to serve routes like Waterloo-Exeter)
Obviously there are some routes that these trains currently run which see predominantly one type of passenger (158s from Inverness to Kyle of Lochalsh, 165s from London to Aylesbury), but it would be very difficult to find a train absolutely perfect for both of these - anything would have to be a bit of a compromise, and insisting on all of them being low density/ five coach/ 125mph/ tri-mode etc seems designed to demand such a high cost train that you can almost guarantee the Government of the day would insist on trimming back the number of units to add few as possible, maybe doing the classic fudge of tarting up some existing trains to include them in the numbers of "brand new and "nearly new"'
I know that some people want everything to be up to InterCity standard but we need to focus on boring/ practical/ everyday journeys, the best dwell times at big stations part way through the journey etc - a 180-esque train would be fine for a handful of routes but OTT on the Thames Valley branches
However, for the purposes of the question, if you discount anything under, say, fifty miles(?), I'd be more tempted to at least consider end -doored trains, still with wide doors and designed to accommodate quite a few standing passengers when needed - a 185-esque design should still tick most boxes, no one design will tick every box though
As a simple benchmark, ask yourself "Would It Cope With Liverpool To Norwich?"
Capable of dealing with the churn mid-journey (Piccadilly, obviously, but also Sheffield/ Nottingham etc), some short distance peak demands to soak up (e.g. Manchester - Stockport), some long distance passengers for whom this is the only real option (especially at the East Anglia etc), bits of electrification (through Greater Manchester, the ECML from Grantham to Peterborough, short sections at each end of the journey), splitting mid route (Nottingham), scope for some large baggage.
Yes, a 185 is more of a '"Jack Of All Trades" than a "Master" of any one route, but few of the current 158/165/166 services only have a single type of passenger (however much some may want to pigeon-hole things as "Outer Suburban" or whatnot)