I'd suggest getting a small apartment, not a hotel. Just Google for apartment Kaprun
In the low season it wouldn't be very expensive (around 500-600 euro for a week for a roomy 4 person app)
Lift tickets are 166 euro for 5 days
, for three (Zell am See, Kaprun and a small family mountain) mountains.
If u wanna go to a more trendy, apres ski, luxurious and more expensive place check out Ischl
I have no idea how the snow will be early April though.
Add: I was there last year in February and ill be there again next week. I have no idea how it compares to US resorts but for European standards its pretty sweet.