SX Tele w/ mxr badass distortion. hmmm.. let me make it short.
if :
HUMBUCKER
-great for chug. fat, sustain, and gain.
-this would make your tone totally different compared to single coil
-no hum but not a guarantee that it wouldn't be noisy
-well, you could use fast track single coils but pricey
-on tone exploration, you might change pickups until you get "YOUR" tone.
NOISE GATE
-would totally cut the 60 cycle hum of your single coil
-probably affect the sustain but it would depend on the settings applied or the chain
-it could be useful on your rig if you're planning to add more pedals
-price can be flexible. (ranging from 1.5k-3k more or less)
some says high gain, go for humbuckers. but what if tom morello yung influence diba?
i go for noise gate based on experiences
practical and also, it would go for the long run.