We present new HST ACS observations and detailed models for a recently discovered edge-on protoplanetary disk around ESO H \alpha 569 ( a low-mass T Tauri star in the Cha I star forming region ) . Using radiative transfer models we probe the distribution of the grains and overall shape of the disk ( inclination , scale height , dust mass , flaring exponent and surface/volume density exponent ) by model fitting to multiwavelength ( F606W and F814W ) HST observations together with a literature compiled spectral energy distribution . A new tool set was developed for finding optimal fits of MCFOST radiative transfer models using the MCMC code emcee to efficiently explore the high dimensional parameter space . It is able to self-consistently and simultaneously fit a wide variety of observables in order to place constraints on the physical properties of a given disk , while also rigorously assessing the uncertainties in those derived properties . We confirm that ESO H \alpha 569 is an optically thick nearly edge-on protoplanetary disk . The shape of the disk is well described by a flared disk model with an exponentially tapered outer edge , consistent with models previously advocated on theoretical grounds and supported by millimeter interferometry . The scattered light images and spectral energy distribution are best fit by an unusually high total disk mass ( gas+dust assuming a ratio of 100:1 ) with a disk-to-star mass ratio of 0.16 .