We consider Bayesian constraints on standard isocurvature baryon model
s from the slope and normalization of the anisotropy power spectrum de
tected by the COBE DMR experiment in their 2 year maps. In conjunction
with either the amplitude of matter fluctuations sigma(8) or its slop
e, all open models are ruled out at greater than 95% confidence, where
as cosmological-constant dominated models are constrained to be highly
ionized. By including the COBE FIRAS 95% confidence upper limit on sp
ectral distortion under the assumption of collisional ionization, we f
urther reduce the available parameter space for Lambda models by exclu
ding these highly ionized models. These constraints define a single re
maining class of standard models which makes definite and testable pre
dictions for degree-scale anisotropies and large-scale structure.