The alternative is some sort of outdoor enclosure, perhaps weather proof (or at least weather resistant).
Or, you might fabricate something which is the logical equivalent to Ice's table.

Perhaps a 1x6 running behind the dish, with the switches on the bottom of it.?
If you do come up with any such plan, it'll save a lot on cable.

In the end, the 10 foot run to the house doesn't sound that bad...
... but get a darned big pipe... or two !
edit: wait a minute!
How many receivers were you going to support in the house?
Four, perhaps?
That'd be four cables from dish to house if the switches were outside...
...something to think about!