I did Liverpool to Leeds about 5 years ago with a mate , For the most part the path is really well surfaced apart from a stretch by Gargrave which is grass and saps the energy you thought would get you to Leeds. It took us 12 hours of riding (14 including breaks).
It was the hardest thing I’ve done in 1 day on a bike , my perineum had a patch of worn skin which became a blister despite the copious amounts of vaseline I’d been using , but it was for charity and we raised nearly 2K between us so I guess it was worth it.
I used a GT I-drive my mate was on a Pace RC200.You’d probably get away with a CX bike IMO.