I have an old Carvin 1X15 bass amp in my studio, can't remember the model but it sounds great....
I plug my bass into a Radial direct box, one output feeds the amp which I mic with an old SM57, the other output goes direct into my Focusrite interface. After recording I adjust the tracks for phase and put Guitar Rig 5 on the direct track and run both tracks into an Aux buss for EQ and compression as needed. Last in the chain is the Concrete Limiter. Sounds good to me and all my bass playing buddies seem to like it....