I broke my collar bone back in 1990 when I was knocked off my motor bike (broke where the bra strap sits on the shoulder). Even though the pain was more or less gone after 3 weeks or so, moving the affected arm around a lot was, if not actually painful, certainly very uncomfortable. Walking around could jar my shoulder, and as I was a secretary I was actually off work for 6 weeks as I couldn't type. My employers were very good about it and not only paid me in full (to be claimed back from the driver later on) but told me they didn't want me coming back until I was fully healed and able to 'hit the ground running'.
Obviously everyone is different, but I really don't think I could have tolerated a theme park holiday even 2-3 months after the break - purely because your collar bone helps support your entire skeleton (shoulders, arms and even ribs), and it was very uncomfortable. The thing is, I could say hire a wheelchair to relieve the stresses of walking/jarring the healing bone, but being bumped over kerbs and rough surfaces will also jar.
Whatever you decide to you, all the best with the healing.