it can be one option. I'd suggest working back from the load you intend on carrying and seeing if that can fit by itself on an acceptable CX bike. If your load is light enough and you aren't a heavy person then why not get a CX bike that can adapt to touring, like the Cross-Check or similar, that when stripped to racing wheels is a decent bike. If you go straight to racing CX bikes you kind of force yourself into carrying an extra 8lbs-12lbs of trailer to save the racing wheels as well as lose the opportunity to carry gear on the front fork.
But if your load is big for one reason or another, multi-day camping comfort, then a trailer makes a lot of sense. I'd just be shy about putting racing wheels through touring loads/braking even if it was with a trailer.
I met a fellow who road about 9/10 across the US on a Cross-Check with trailer and he said if he did it again he'd do without the trailer.