A simplification that is useful is that you get signal loss and noise on cables that is proportionate to the length of the cable. But the strength of the signal on the cable varies depending on the type. From strongest to weakest is power cable, speaker cable, post-pre-amp interconnect, pre-pre-amp interconnect, pre-phono-stage cables. Balanced signals in theory don't get as much noise as single-handed because the noise cancels out on the legs.
This you basically want to have your longer cables as early in that list as you can, with exceptions sometimes being made if the alternative is a balanced signal slightly later. But I want to call out that I am saying balanced *signal*. If you just run a single-handed signal over XLR cables, that does not make it balanced - you need an active device at the origin to make it balanced. Also note that signal loss is not reduced with XLR. That loss is not an issue for strong output signals usually, but phono outputs are pretty low. What that means is you will lose detail. A loud primary sounds get a touch softer, but the quiet subtle sounds just go away or get lost in background noise.
So given the gear you are talking about, you would likely be better off with your integrated in the same location as your turntable and then having a long run of speaker cables to the speakers.
One other small reminder in planning is that turntables are often placed in a location where the sound from the speakers is weakest. That is because the whole thing can end up being microphonic. So if you are putting your turntable next to your seating for convenience, that may become a problem. The severity is up for discussion and highly equipment dependent, but relevant.
The phono pre will be outputting a 2V signal to the integrated, this isn't a phono cable run, it's line-level.
Longer speaker cables ARE NOT the solution here, speakers are low impedance and the additional LCR from long SCs is a much larger issue than with IC cables, which are used in a high impedance situation.
Also, in reply to others, there's is nothing saying a 40' single ended run will end up with hum, where do you get that? There needs to be interference from an EMF field to cause hum, and this can be avoided if the run is routed properly, I went over this in my previous post. There will also be some noise rejection on a SE twisted pair, which is also shielded.
Using XLR converters to solve a non-existent issue isn't a good idea either. You add more cables, components and/or trafos to the system to do what? Keep theoretical noise away that likely isn't even present in a typical home environment. Balanced audio for home use is solving a problem that usually doesn't exist in a home environment. I agree XLR is more ideal but not if you have to add a bunch of stuff to do it. If the phono pre was natively balanced and the amp actually has a balanced receiver (instead of just not using pin2 for anything and leaving it unterminated, as most SE amps with XLR ins do), then use XLR. This is why I recommended installing a balanced cable rather than a coax cable for this application, in the future XLR could be used if the gear supports it.
Sorry, but there's just a ton of noise in this thread, not in the proposed long cable run, lol. The long cable run isn't what I'd do personally, but there's no reason it can't work and if routed properly, it won't be noisy or pick up hum either.