Someone would have to back me up on this (if true) but I believe both Voyager and the Enterprise E were said to have warp drives that did not degrade space (or whatever the problem was in Force of Nature).
Voyager's nacelle pylons changed height and the problem was resolved. Less documented is the Enterprise-E, but as its nacelles are much longer and have a variable glow in the Bussard collectors, they just used different calculations, longer nacelles but less proverbial amperage going through them along with rendering variable the tasks that the Collectors can do in order to mitigate the destructive effects. Probably.
It also explains why Picard opted to fly the Big-E to the "First Contact" battle instead of simply transmitting the solution to the fleet via slower subspace audio -- all while said fleet were all being splattered'n'splodied by the ever-adapting Borg, who'd sent... just one... teensy cube... to the big battle. (Oh, meanwhile on Voyager, Borg episodes had the cybernetic nasties discussing sending a whopping two cubes to a society that was largely on par with the Federation's* as it'd be an easy win for them, while conjuring up some dumb reason why Federation people kept beating them despite by a hair and more by random chance more than anything else. Okey dokey then...)
TNG's remaining year of "Go past warp 5" was just lame, although "All Good Things" had a nifty idea and canonized the third nacelle as means to get around the effect on the fabric of space by making a warp bubble thingy in a way that wasn't aggressive and mitigated the damage. Like replacing CFCs in hairspray with another product so that everyone could keep those cool post-punk new wave hairstyles going right along with that silly ozone layer and all. (And yeah, symmetrical nacelles generally worked better, and a single nacelle has always been udder pants**, but the third nacelle approach
really looked good... on the "D", anyway...)
* complete with random phaser frequencies when it's simpler for the Borg just to adjust their shields to absorb anything within the entire range of frequencies and adjust every time a new frequency is detected, with heuristic scanning - if they can scan phaser emitters, that's the preemptive battle right there. No fuss, no muss
** or if this were a cow, it'd be udder pants, but I digress
Offscreen, they probably prioritized missions and put to the side and traveled less. Whatever the Romulans, Klingons, Borg, Pakleds, the Galaxy Child critters who presumably ate beans and farted their way around the cosmos, etc, etc, wasn't brought up.
Going from a decades old memory here (I think the last time I watched the episode was 15 or 20 years ago) the thing I thought was really cool in FoN was how when all the warp dive shenanigans happened that ships that were (in Star Trek terms) right next to each other were suddenly hours or days or weeks apart. I just love that kind of demonstration of how miraculous warp drive would be and how huge even "local" space is.
"Where No Man Has Gone Before" was one of the other and just as very rare occasions that really sold the bleakness of space, should the engines putter out. One can't reuse the same trope every week of course, but WNOMGB did a better job IMHO - only because it didn't have residual baggage that would be conveniently put aside. (Apart from throwaway fluff like a third nacelle, birdlike flapping nacelle pylons, plus the holiday blinky light show that adorned the Big-E...)