Typically, the USD125 fee isn't charged provided ticketed points remain the same (see 16(a)(1)(a) and (b)
here). So in your situation, simply book your journey using dummy or placeholder dates (assuming the routing you want is available, given some are obviously seasonal). With this approach, my recommendation is your dummy dates incorporate your transits and stops as it will make for easier calculation of taxes and surcharges. For example, if you're travelling CDG-LHR-BOS-DFW-LAX-HKG but only transiting LHR and DFW, make sure your dummy flights LHR-BOS and DFW-LAX are less than 24 hours after arrival at LHR and DFW respectively.