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all the CTT Opens can be done on a road bike and the organiser can sort TT from RB after the fact
Now that you specify whether you're on road or TT bike when you enter, I'm not sure what happens if you then ride the other kind. By analogy with tandems, the logical thing would be that if you ride the wrong bike compared with what was on your entry form, you're allowed to ride but "shall not be eligible for any prizes in either the event nor any accompanying [other machine class] event and the time recorded shall not be used for any purpose"
onyerbike
gbj_tester
FWIW I did my local 10s on a road bike on the drops and enjoyed it immensely. There are road bike specific TTs also.