The process is the same regardless of the action, except if you're pillar bedding a Ruger M77 (b/c of the angled front action screw). The only reason so much info exists on pillar bedding Remington 700s is because it's one of the most popular actions. As a result, pillars are available with a mating radius to the 700 receiver and drill alignment jigs are available specifically for stocks inletted for the Rem 700. You don't have to use pillars with the receiver radius machined in; that just makes for a cleaner installation.
I use the Score High Gunsmithing aluminum pillars because I like the grooves on the o.d. that provides a better mechanical lock with the epoxy and the stock. They make a threaded version that makes it easier to get the length correct. Or any machine shop can easily, inexpensively make some pillars for you out of virtually any metal. It's a quick and easy lathe job.