A little late, but I just noticed this.
Having and a look at your website, I would think that C1 + Photoshop would be an ideal combination. As others have said, C1 isn't a replacement for PS, but Capture One. has some nice tools for managing headshot sessions (many customisation tools available and refined colour grading).
As others have suggested C1 sessions are well suited to this kind of work, and round tripping between C1 and Photoshop is pretty seamless, but you do need to understand the differences between "edit with" and "open with" options
C1 does have a pretty steep learning curve, but there is a fair amount of help available (including here in TP, but for me, I'm most likely to see C1 questions if they are posted in the "post processing and image editing" forum).
I have put together some C1 youtube channels that are worth being aware of. There are a lot more than this, but these are probably the best ones.
Official Capture One
Capture One’s powerful photo software gives you the tools to shoot, edit, collaborate, and share from anywhere easily. Letting you work less and create more, bring your photos to life quickly and get more time to do what you love. Whether you’re an emerging or pro photographer, get all sorts...
www.youtube.com
Good resource to get started, Interviews with C1 users discussing specialist workflows are useful.
Paul Reiffer
Paul Reiffer - Landscape, cityscape and commercial photographer. Exploring the world around us, with fine art limited edition prints, photography workshops and commercial photo shoots. Subscribe for live editing sessions and in-depth Pro Tips guides to Capture One. https://www.paulreiffer.com/
www.youtube.com
Professional Landscape photographer ex commercial/fashion photographer (Phase One user)
Channel is based on editing viewers uploaded files (all subject matter, but maybe not too many portraits). These are “master” classes in using C1 compared to the official C1 channel.
Has a Capture One “Pro tips” play list covering specific topics
AlexOnRaw
AlexOnRAW.com All about Capture One: tutorials, articles, video, styles, tips and tricks. Channel author - Alexander Orlov (a.k.a. Alexander Svet). Download 17 styles for Capture One for Free - http://1styles.pro/try/?utm_source=AlexOnRAW&utm_medium=youtube&utm_campaign=videodescription...
www.youtube.com
Professional photographer commercial/portrait, Long term C1 user with a lot of expertise. Some genuinely useful C1 styles Valuable paid for course, plus a new “C1 Insiders” patreon type group, to provide better support for his students/style users than his facebook page can provide.
Camera Lessons online
Camera Lessons Online is all about one single idea: that the ability to create stunning visual imagery should be accessible to everyone. To make that a reality we teach photography here. Sometimes that means focus control, sometimes manual exposure, sometimes studio lighting, and sometimes we...
www.youtube.com
I think, Amateur Photographer, but gives lots of short videos addressing specific techniques. I don’t always agree with what he says, but a useful quick browse.
Verser Engelhard
Share your videos with friends, family and the world
www.youtube.com
These cover C1 and Photoshop and appear to be recordings of lectures to digitech students. A bit tedious at times as they cover dedicated student interaction (ie college/university admin stuff) but cover stuff not covered anywhere else about using C1 and Photoshop in a professional environment.
Nino Batista
This is where we focus on making photography and retouching a little less complicated – and a lot more effective. We create Photoshop Plugins, Actions, and Capture One Pro Styles to help you get things done, whether you're perfecting skin, managing frequencies/texture, or dialing in perfect...
www.youtube.com
Professional retoucher, portrait/glamour photographer, covering C1 and Photoshop. A bit of a focus on PS (and his excellent Photoshop panels), but the videos on C1 cover material not found elsewhere.
Far too much in all of this to sit down and watch through it all, but they are well worth some browsing to see if any grab your attention.
Specific questions can, hopefully, be answered on here.