The 30 m resolution SRTM should be fine as the regional scale model would presumably have a rougher grid resolution than that. Nevertheless, the SRTM maps that are downloadable are not necessarily reflecting the true ground surface elevation especially if the land cover is complicated. I'm, however, not sure about this, so I would also love it if someone could share some more info on the SRTM accuracy.
As far as the catchment delineation is concerned, although I'm not an expert on this topic at all, I believe it needs calibration against true locations of the surface water features (e.g., by using Google Earth information, etc.). If you can't perform that kind of calibration then it's better to use a photo for your stream locations instead of a GIS generated catchment delineation outcome. Catchment delineation is rather sensitive to the topography and the less topographic variability you have (i.e., low-lands, etc.) the less accurate your delineation will be.
There is no single answer here. Everything depends on the modeling goals of course. What you may also do here, is to include measurement error in your observations, calibrate the model accordingly, and present your results with uncertainties being quantified. See manuals and presentations about automated calibration tools such as the PEST family of programs.
Riverbed sediment thickness is something that may even not exist. Not all surface waters have sediments on top of their beds. In MODFLOW the riverbed thickness and the vertical hydraulic conductivity of the sediments, therefore, in such cases, may be considered as surrogates for something that doesn't have a physical equivalent. As a result, these parameters are most often calibration parameters, and not being measured.