Is the base plate raised up so that the bolts are exposed and taking the full compression loads? If so, the analysis by hand is fairly easy. Choose a neutral axis thru the base which results in worst case condition, usually thru an opposite pair of bolts. Then using a linear strain distribution across the neutral axis, you can calculate the contribution of each of the bolts at different distances from neutral axis to the moment resistance of teh assembly. I have not done one in a while, but I seem to remember that you have to solve an inequality, pretty easy with Excel. Once you have the bolt tensions and compressions due to bending, all that is left is a combined stress check due to bending, tension/compressio, and shear. Also check the bolts in compression for buckling. You could probably set up a spreadsheet in Excel easily to do this analysis for any number of bolts.
I know you were looking for something quicker and easier, sorry. Sometimes I prefer to write my own spreadsheets than use some obscure utility I downloaded from the net. Not to knock the many excellent utilities out there.