What limited space?
I don't understand your confusion. I already explained how any 140mm PC case fan will fit in terms of the mounting screw spacing. And it should just be simple common sense to see that any 25mm thick PC case fan can replace a 30mm thick fan.
As for cable length, surely you know how to use a ruler to measure your current fan cables. Then simply read the specs of any new fan you are considering to make sure its cable is long enough. Obviously, if your current fan has a 12" cable and uses most of that length, you don't want a fan with only a 6" cable. And if the replacement fan has a 15" cable, it is no big deal to tie back extra length. I just would not get a fan with a 24" cable if I only need 12". Technically/electrically, no big deal. But good cable management looks more tidy and more professional, and minimizes impacting case cooling/air flow (or collecting dust).
Out of curiosity, why are you replacing these fans? You say you don't like the "noise output". As someone who really hates fan noise, I can definitely sympathize with that.
But I would expect Lian Li supplied fans to be pretty quiet. And since that case comes with 2 x 140 mm x 30 mm pre-installed in front, and 2 x 120 mm pre-installed in the bottom, unless you are doing some extreme overclocking or your ambient (room) temperature is an oven, you should have adequate case cooling.
I note one of the main reasons most case designers moved from120mm fans to 140mm fans is 140mm fans can move massive amounts of air while spinning at a lower speed than similar design 120mm fans. And the lower the RPM, the quieter fans become. And being 30mm thick, that means the blades act as bigger scoops to grab and push along even more air at the same or even lower RPM. That's a good thing.
Have you tried simply slowing these fans down? Front fans are great but they are right there in front, typically closer to our ears. If slowing down increases your internal temps too much, you might be able to simply add a quality 120mm fan in back to help exhaust heated air out. This might allow you to slow down (and quiet) the front fans and still provide adequate cooling to the components inside. You still want to maintain a
slight over (positive) pressure in the case to ensure intake air is pulled in through the air filters, so a single fan in back would probably be best. Any more and you may end up with an under (negative) pressure. That is not good because it causes a slight vacuum in the case and that will draw [dirty] air in through every crack, crevice and port in the case. Not good.
Note a major component of fan noise is NOT from the fan, but from the air from the fan being drawn/blown through the vents in the case. Replacing a fan with a quieter fan does nothing to decrease the noise of the air molecules banging into those vents. Only decreasing the amount of air flow helps with that.
Instead of using mounting screws, you might also consider using
fan anti-noise, vibration isolators instead. These help suppress noisy fan vibrations from resonating throughout the cavernous case.