True bypass and noise issue are 2 rather different issues. Unfortunately, true bypass looper is not going to solve any problem on noise issue.
A true bypass looper is nothing but a mechanical switch within that pass your signal from input jack to output jack, without going thru any electronic component that may affect the integrity of the signal, heard as a loss in volume, frequency etc.
As for the noise, is it hum, loud hiss or hi pitch feedback. All these are pretty much different things and have different reason for its cause.
Imho, best way to test, instead of adding more things in the chain, start by having only one pedal in the signal chain(aka the noisy one). Set to the setting that you are using, test and listen to any abnormality. After which, slowly add in another pedal, test setting on the pedals and so on. Add a pedal at a time, test the setting and check on which combo caused the issue. After identifying the combo that might cause noise, try different setting that might lower/eliminate the noise.
Do take note that if stacking any gain pedal(aka overdrive, distortion, fuzz etc), theres a need to balance the gain setting, if not, loud hiss, feedback will occur, due to the severe increase in signal strength beyond unity gain.
Anyway, have fun troubleshooting. Part of the fun come from having problems and solving it. As for buying stuff/adding more gadget in your signal chain to minimise/eliminate noise issue, hehe, if got extra money and knowing what you wanna, just go ahead. If not, for a start, isolating the problem pedal by itself and test from there is prolly a good start.
Oh, lastly, using noiseless stuff aint going to be noiseless most of the time, especially when theres gain pedals involved. Each stage of effect can add certain "noise" to the signal chain and when going into a distortion pedal and going into amplifier, these "noise" will be amplified as well, to audible range.