A few suggestions, in case you haven't already planned on them:
1) One of the 'flaws' in the Twinmax design - possibly they've improved the design lately, but as of several yhears ago they hadn't - was that it used unregulated battery voltage in the device. Thus, the error of the measurement was directly influenced by the variation in the battery voltage. Thus, if you had a "weak" battery int he device, it wouldn't provide the same accuracy as a new battery.
2) Use a "Bridge" circuit design to minimize component variations messing with your "zero". I would feed the differential signal from the bridge into an op amp with relatively low gain, maybe just 1. You maybe better off doing the filtering of the first op-amp's output if you have to filter stuff, rather than having the filter circuit's components causing a potential imbalance to the differential input. Then feed that output into another op amp circuit for more gain, etc.
If you are really interested, I've "acquired" a schematic that may be of interest to you.