this is true even in Alaska. I bought my (now ex but i cant bring myself to say it... im still attached haha) sled for 4900 bucks last fall, rode it a lot for the time I had it until i had a season ending injury, then just resold it for 4700, so i really did lose that much in value. New sleds drop stupidly fast in value like anything else you buy new. My sled was(using past tense, this is a big step for me) an 06 Arctic Cat m7 EFI with a 153" track with the 2 1/4" paddles... Damn being a college freshmen and having to pay for it, this thread is making me miss ol' Patty(yes i actually named her)... Anyways I loved it and got lucky and didnt have to pay for any really costly repairs, but that was just really lucky, I would on occasion see a buddy do a couple grand in damage, and saw a few sleds get totaled, ect. But you are usually right, you dont have to be rich to own a sled, and you can get insurance for a few hundred dollars a year if you cant afford to total yours.
Anyways, I would strap them to my backpack when it was just me riding, was only a problem a few times going through trees, but I had them high enough that I could cross over without the tails hitting the seat.
A buddy of mind got creative and made a ski mount for his sled out of a 2X4 and some old ski boots he paid 5 bucks for at a ski swap.. and it worked really well. On the back rack, he somehow attached the 2X4 to stick out a foot or so, then he took the bottom of those boots that are the same size as his actual boots(he cut them off so its just the bottom if that makes sense), he had them angled perfect to hold his skis. Its also a good method because if he rolled his sled instead of breaking his skis the bindings would just release. Its hard to explain what he did unless you can see it, but I think if you are creative you can build off the idea if you want.