Quin can get up to 1700 MS with the new R.
Base race time.

Base race time.

top
jungle
Mid bc her MS buff scales with AP
ADC
support
FLY, BIRDY! FLY AND BE FREE
Quinn gets style points doe.
Meanwhile the champ that actually makes sense to move fast gets nerfed 
Thats nothing i've been up to 2,048 MS with Quinn (with homeguard and baron tho)
See, what you do is you have that team, but maybe put an Ekko in instead somewhere, then have the new Poppy on the other team. Knock them all back to base, I imagine some of them could get there faster than Ekko.
...Come to think of it, I wanna see a team that basically just totally shuts down Poppy ulting them all. Have, like... Ekko, Shen, Tahm, TF and Pantheon. Ekko ults back in, TF and Pantheon goes in, Tahm shows up and Shen TPs to whoever.