Generally, you'll pay more per month for short term lets unfortunately.

You should get at least a studio in the Bonnington for that. If not, there's some places in the Marina you could try (Marina View Hotel Apartments, Marina Hotel Apartments, Radisson Blu Dubai Marina, The Address Dubai Marina, Lotus Hotel Apartments).

You could also try Grand Millenium TECOM, Gloria Hotel and Grand Midwest Hotel Apartments at TECOM too.