Inverter install on a wolf creek

I am looking to mainly run a hair dryer for my wife, so right now looking at the xantrex prosine 1000watt. What is the smallest watt hair dryer you can get. Would love to go 300 watt morninstart but don't think it has wnough juice. Not sure if I can get away with putting it under the sink or out of sight due to it needing air to breath. I like the idea of putting inside mounted to the battery box like towpro mentioned. Pretty sure the 850 and 840 are similar. I think I have enough room but worry about proper ventilation. towpro what inverter are you looking at putting in?

Thanks
Nolan