Sounds to me like you and I play with a similar amount of aggression towards the strings
I had the same problem with my last recording, and I got buried in the mix too.
I have the Warwick .175 on my 34" scale Jazz, it's not a bad string. It gave me a decent amount of tension at G# but I was not thrilled with the sound of it on a 34". I just recently got my Quake, so I don't have to deal with all of the compromises anymore.
I am a flats player at heart, but flats just didn't come heavy enough for what I was trying to accomplish, so I was using all kinds of different combinations, usually mixing and matching singles from Juststrings. One of my best combos was some Ken Smith stainless singles with the SIT .165. Eventually I wound up getting close to the best sound I could want out of a 34" with 4 flats (.125, .85, .65 & .50) and the Warwick .175 below them. The general brightness of a round as compared to a flat was what actually made the .175 useable. As dull as it sounded stretched across 34", it blended well with the flats whereas when mixed with the SS rounds in the other 4 spots it was getting drowned out.