Jeff,

And, if you don't want to dive into Bayesian methods, the GAMLSS package allows 
you to specify models for location, for scale (what you want) and/or for shape. 
 Those models can be parametric or nonparametric, including multiple types of 
splines.

https://www.gamlss.com/books-articles/ provides resources, including links to 
short course notes and a J. Stat Software article.
Best,
Philip


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