Bill Kristol and Charlie Sykes have launched The Bulwark, with the slogan "conservatism conserved." They have brought over a number of the writers from the Weekly Standard after Phil Anschutz and Ryan McKibben treated it like Planned Parenthood treats babies.
There are not many, if any sites, that are fully invested in being against Trump from the right. Most of the voices who have taken that position have become progressive, veering left on any issue where Trump actually takes the conservative position. The Bulwark seems to be positioning itself as unapologetically opposed to Trumpism, but still conservative.
Both Bill and Charlie undoubtedly been champions of cultivating solid conservative thought and grown up public policy. It'll be interesting to watch the course they chart moving forward with The Bulwark. God speed to them.