Although not "FE", you could try the Sony APS-C SEL18200. On full frame cameras it will give 150mm, and, with the APS-C framing disabled, will provide a good square image capture. The quality of the images is very good so can be 'enlarged' easily.
Kit: all Sony now:
RX-100/3, A6000, A7R. Lenses:FE16-35, FE24-70, SonyF10-18,SonyF18-200, FE35/f2.8, F16/2.8, Minolta APO 100-300, Nikon 135 macro, Nikon 50/1.4, various extras.