Comfortable daytime operations in hot-humid conditions would necessitate use of 1 TR models. Latent energy loads far exceed sensible load in humid conditions. Nights could easily have been managed by 0.75 TR.
For your budget, I think LG fits in, with of course a very good after sales service record.
Settle for a 3 bend evaporator design model ..... it allows for maximum de-humidification, hence better cooling characteristics. Make sure that the distance of the condenser (outside unit) is as near to the evaporator (inside unit), with minimum bends on the gas carrying lines during installation. That ensures easy flow of the gas to the evaporator unit and out ..... minimum resistance would also ensure better compressor funtionality. Also necessary to make sure that both units are installed at around the same height +/- 1 ft.
The condensor unit too requires service once a while, so it needs to be placed at a location which is easily accessible. MOST IMPORTANT .... which no one suggests, put the outside unit in a shaded, but well ventilated place. Try to save it from direct rain water and direct sunlight. Why sunlight, bcoz, you are trying to throw out the accumulated room heat to the seemingly cooler outside. The higher the DETLA T (temperature difference) the better would be the compressor efficiency..... and lower power bills.
Tell your folks at home to set the temperature at 24 deg C during night and 22 deg C during daytime for best results. No need to set temps at 18 or 19. That DOES NOT mean faster cooling .........
I would be sending you a bill for this HVAC consultancy .... so, let me have your address ....