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I don't think there is but you could try one of the splitting apps like splitmyfare and it will tell you.
I met a French woman on the ferry to Calais the other day and she had just got the train down after touring round scotland for 3 weeks. She said she got the train down just in a normal seat as the sleeper prices were horrific. She said it was just about bearable.
Or there is always the overnight coach. I used to use that to get to university (back in the days before parents took adult children to university in massive cars) and it wasn't exactly great for sleeping but it was cheap!
Actually overnight coach won't get you all the way to inverness so forget that.
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I'm a big fan of the seated sleeper train - generally around 70ish both ways, bike bookings very easy via their website. Trade off is a night of intermittent sleep /back pain, but anyone who has audaxed should be able to cope.
It's also fully refundable up until something like a week before, so worth booking anyway while looking for cheaper options.
I would love to be able to afford the actual compartments with beds, but think the days of any bargain ones being available are long gone.
I wish they had some sort of no-frills bed option like sleeper class in India with triple decker bunk beds with no bedding supplied.
Anyone know any tricks for getting to Inverness cheaper than what it costs to fly to India? Or is it a case of booking 3 months in advance and that's your lot? The prices for a weekend up there are making me consider the sleeper train again and that's mad pricey but you save a hotel night.
Maybe something dumb like riding out of London and going from an in between station?