Until you can get your saddle fitted, how about one of these pads? They have inserts so one side can be pad-free while the other side padded. I have several of these and they’re great.
ECP Correction All Purpose Contoured Saddle Pad with Memory Foam Pockets https://www.amazon.com/dp/B06XH1R95W/ref=cm_sw_r_cp_api_glt_i_QA0NKSHFBGHVWF06RR07?_encoding=UTF8&psc=1