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Assuming you're going via Virgin then it's fine (although only on Friday). On the Monday you'll generally need to be getting the train after 9.30am (although there are a few strange rules).
I'm pretty sure the Preston to Clitheroe bit doesn't have peak trains (admittedly it barely has trains). There's a first come, first served bike section or you can just squeeze it in on the doorways I've found.
Presume a 16:30 train heading north with a bike will be ok in terms of OFF PEAKness?
I need to get me and myself to Clit-hero, sorry, Clitheroe Fri night and then back again either late Sunday or Monday.