There's a good book on the subject - H.K.P.Neubert's "Instrument Transducers" .
It's been out of print for a long time - the second edition was published in 1975 - but you can still buy it second hand
The first edition was enthusiastic about AC excitation of strain gauges and resistance thermometer, in part because the Blumlein bridge gives more sensitivity than the Wheatstone bridge
As Rayner and Kibble point out in "Coaxial AC Bridges"
- also out of print - the impedances of the arms of centre-tapped 1:1 transformer winding made with twisted pair can - with care - be equal to about one part per billion, and dissipate quite a lot less heat than their resistive equivalent. Ratio transformers - made with twisted bundles of wire, rather than just twisted pair - only get to about one part in ten million, but standards laboratories love them.
AC excited bridges are more complicated than their DC equivalents, but the complication buys you quite significant performance advantages, and you could pack it all into a couple of square inches of board space, even with through hole parts.
-- Bill Sloman, Nijmegen