Still had been signed earlier in August.
Still, 28, appeared in three games for the Houston Texans in 2016, registering two tackles. He previously played for the Cincinnati Bengals for three seasons (2012-14), notching 40 total tackles and a forced fumble in that time.
He played well for the Jets in the preseason, posting 1.5 sacks, but the Jets added Kony Ealy on waivers on Sunday, leaving one less roster spot open on the defensive line.
Draughn, meanwhile, signed with the CFL's Ottawa Redblacks in May but was released in June. He's the latest addition to the team's secondary in the past two days after the team traded for safety Terrence Brooks on Sunday.