I have been reading "A Desktop Reference of Hip Vintage Guitar Amps" by Gerald Weber. In it he discusses several mods to "improve" your Bassman.
Here is one that requires no tools. When/if you look at a schematic, it makes sense, but may not be obvious. "The way the volume controls on each channel are connected, the one that you are not using actually affects the tone and volume of the one your are using. Actually the one you are not using both increases the grid resistance of the second gain stage as you turn it up and grounds out some highs. You get maximum gain and bottom when it is about one third to one half all the way up, depending upon the taper of the individual pot." It makes a difference, fire up your amp and see for yourself.
Another mod I have seen discussed here on the list, but was reluctant to believe until I read and tried, is patching the normal and bright channels. Plug your harp mic into your input of choice, then use a 1/4" patch cord to connect the remaining input to the number one input of the other channel. Adjust both volume controls to suit your taste. According to Gerald, "This will strengthen the signal that the power tubes get from the preamp." I have questions about what is going on with the signal (i.e. splitting in half?, half volume per channel?, increased/decreased current flow?), but can tell you it does make a difference in the sound. Whether it helps get "the sound" or not, you'll have to decide.
Another mod discussed that relates specifically to the RI Bassman is the speaker connection. This is one I have not yet tried. On page 54 it states, "Also, if you own a Fender re-issue, you will want to reverse the speaker wires on each speaker so that the amp plays forward like an original." Weber discusses how the original Jensens were not labeled for polarity according to "modern" standards (the exact opposite of it). In a nutshell, this means your amp plays backwards compared to an original. Weber states it will increase apparent low end. Once you locate the positive speaker lead (by today's standard), it should go to the sleeve of the plug and the negative terminal should go to the middle of the plug.
I have to offer a disclaimer because I'm no Electrical Engineer, so try at your own risk.
I would recommend Weber's book to anyone who wants to learn a little about tube amps. I can't vouch for the technical integrity of the book, but I think I learned a little.