1) a strat is the guitar in question. With 3 single coil or 2 single one humbucker in bridge?
If 3 single coil, forget it, you will get hum no matter what, even when clean all the way and volume at band jamming setting. Unless you are using noiseless single coil or any hum less single coil pickup or the silent system etc. But then even if its humless, with all the gain pedal on at the same time or boosting at any point of time, the hiss will be as bad probably..
2) With all the gain pedals you have in your chain, you are not only boosting your geetar signal, you are also boosting whatever noise/hiss/hum thats present in your setup.
to reduce hum/noise, theres need to be a balance in the gain level, volume level, geetar shielding/grounding and the way you utilised the pedal sequence. Anyone of these outta sync, there can be problems.
For big muff, seldom have heard anyone using a big muff for boosting. The pedal at minimum gain(if use for bossting) is really nothing intersting or adding any sparks/brillance to the sound. And at moderate gain, the hiss level can get pretty noticeble liao(especially with volume on amp turn up). At high gain, hehe, i rather moulate the hiss than playing with geetar...
theres too much gain in the muff to be use as a boost. Usually people wud use it as main gain pedal whilt using another pedal to boost it, instead of the other way round.
imho, mileage might vary.