Golf Clubs on trains... | Golf Monthly

You will struggle to get them in the luggages racks so I would definately go the cycle route, they will also be aware of loading issues too if booked in advance to help if needed.
12 weeks ahead for cheapest tickets, if the real cheap ones are gone then maybe look at break the journey up, believe it or not you can travel on the same train at near half price using 2 tickets sometimes.
And final suggestion redspottedhanky are on tesco clubcard system like AG where you double your vouchers up meaning you potentially half costs.