13Therefore let us go to him outside the camp and bear the reproach he endured.
14For here we have no lasting city, but we seek the city that is to come.Hebrews 13:13–14 (ESV)
If we aren’t going to follow the law (which we know has now been made completely unnecessary from Romans 10:4 and a lot of previous chapters of Hebrews), we go where all of the lawbreakers go, outside the camp.
The wild part is, there is a tent of meeting out there where anybody can go meet with God whenever they want — without a sacrifice!
7Now Moses used to take the tent and pitch it outside the camp, far off from the camp, and he called it the tent of meeting. And everyone who sought the Lord would go out to the tent of meeting, which was outside the camp.Exodus 33:7 (ESV)
So even if you are clean, if you ‘sought the Lord’ you would go outside the camp, among all of the other people that were outside of the camp, and meet Him there.