Thanks for your comments, ladies.

I thought there might be a tire issue or tire pressure issue too, and that is why I was thinking I might put wider tires on a CX bike to help with that. I had my suspension locked on my Ariel, and it bounced all over the place but to a lesser degree than did the Fuji CX bike when I was on it, so there may be a fork issue too. I will probably try the Cross Check with fat tires and lower pressure to begin with, and then switch forks to something with suspension if necessary.