ML method for 2-p Weibull using MS Excel is is straightforward. For a given sample size, the ML equation is function of only the Weibull modulus (shape parameter). You can use the SOLVER function in MS Excel to find the solution. Once you find an estimate of the shape parameter, the scale parameter can be easily estimated. I used MS Excel for the Monte Carlo simulations in this paper.
Article On estimating Weibull modulus by moments and maximum likelih...