in that budget you can go for hitachi or daikin airconditioners.. daikin airconditioners even claim themselves to have some of the most silent airconditioners in the market..
and you say its a 250 sqfeet bedroom.. so a 1.5 ton split AC will be enough to cool quickly.... i have a 1.5 ton split LG AC in my bedroom of about 225 sqfeet.. , cost about 28K because we bought 3 together, and the room cools in less than 5 minutes if the AC is turned up to full speed.. and after the cooling, the AC runs on minimum fan speed to maintain temps. and is quiet enough not to be heard... but as you've got a good budget, i would suggest to look at hitachi or daikin ACs.