We propose to observe four Crab-like supernova remnants, the Crab twin 0540-69.3 in the LMC, the composite remnant G29.7-0.3, the isolated plerion G21.5-0.9, and the plerionic core of CTB80, with CAM to obtain spectral index mapping of the synchrotron continuum emission, and to provide some of the missing spectral coverage of these objects between the radio and X-ray domains. The observing frequencies are near the expected break for the Crab twin and G29.7-0.3, and the spectral index maps should provide important information about the magnetic field structure and the site of particle acceleration. We also propose to measure polarisation in one source, G29.7-0.3 for autumn launch or 0540-69.3 for spring, which would unambiguously establish the synchrotron nature of the emission and discriminate against any possible dust emission. Finally, we propose to observe these four plerions with PHT-C to broaden the spectral coverage and look for bumps of thermal dust origin like that discovered by IRAS in the Crab Nebula.