I understand very well the desire to take available information and apply it to other needs.  The difficulty you may have is you dont have changes in soil water storage, groundwater  recharge and February is typically outside of growing season, so maybe transpiration is low (a temporary benefit for estimation).  Land use such as imperveous surfaces can alter flow timing and extent.  I sometimes wonder why so many want to estimate flow, rather than measure it.  Transducers to measure water depth are not that expensive, and a stage discharge relationship is not that hard to obtain on small streams.  But if you understand the limits, timing issues, transpiration and water storage or deep seepage to groundwater issues, you can calculate a water balance and estimate a flow value.  The flow value will have substantial variability from reality, unless you can account or estimate these other unknowns that will be included in your frequent overestimate of streamflow.

One of the effective ways of gaining daily stream flows is the application of a hydrological simulation model to generate the daily flows. There are a variety of models that are free and utilize different approaches with different data requirements. Yet, you will need long term data (at least 3 -5 years) to calibrate and validate your model so that the output data could be ensured to be reliable. The HEC-HMS which is free could be recommended for your requirements as it includes several user friendly approaches of modelling that are with less data requirements. It also comes with a quick user guide which can be easily followed to cater your needs.

For more details on HEC-HMS,

http://www.hec.usace.army.mil/software/hec-hms/

You may contact me for more assistance.

What you need is a hydrologic model, essentially it will transform your meteorological data into streamflow/ hydrological data thorugh some empirical/ advanced equations. Based on your accuracy requirements and area of study you can choose between detailed hydrological models and empirical equations. Based on the data provided by you, i see the only thing missing is soil/lulc data. if you can get that you can employ a myriad of hydrological models to your solution. If in case soil/lulc data is not available you can try searching for them in previously published  research papers.

https://en.wikipedia.org/wiki/Hydrological_modelling

Hi,

As the other respondents have suggested, you could use a rainfall runoff model to obtain flow estimates. Do you have any flow values available for model calibration? If not, you might want to look into the large PUB (Prediction in Ungauged Basins) literature.

Martyn