You can build a library of amp profiles of amps you want. One thing to keep in mind though is that a profile is a capture of an amp at a specific given time with how it is setup to sound at that moment. That means that to have a good accurate representation of this amp you will need a stack of profiles of it adjusted different ways to get the complete capabilities of that particular amp.
I purchased a pack of profiles of one particular amp that I wanted to own from a popular seller of profiles. It came with direct profiles as well as many other profiles of the amp at various gain stages and tones. There are a few with a pedal in front if it as well as others with a different pedal in front of it to give a different flavor of the tones that it can produce with those pedals. There are many producers of profile packs like this.
I have also profiled one of my own amps that I really like and done it with different pedals that I have been using over the past 6 years at gigs. It has faithfully recreated those tones that I am used to using. Between the ones I have created and the one pack I have purchased, I don't feel the need to keep digging.