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Actually overnight coach won't get you all the way to inverness so forget that.
I hadn't thought of that option but I definitely prefer trains to buses (waves at home town that hasn't had a train for 30 years but instead a 7hr bus/train journey to the capital - the dickheads)
I think the better option (apart from doing this months ago) is to get an airbnb up there for a week and take advantage of the cheaper weekday prices, work remotely. Might cost more in total but it'd be a more relaxed week instead of an overpriced, sleep-deprived weekend.
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.