I would make the decision based on specific opportunities offered rather than department. The overlap is going to be substantial and general trends won't say much for your specific circumstances. For instance, "in general" you will find more support for grant writing in AMCs and likely get more exposure to grant writing there. Are there folks in psychology department submitting 3+ R01s every year? Absolutely. Will psychology departments typically be more training-focused? On a whole, I'd say yes. Med schools function more as research institutes these days, education is usually pretty tertiary. That said, I know some med schools that offer fantastic training for post-doc and there are certainly plenty of psychology department where you will get little-to-no training as a postdoc.
I think the <only> exception would be if you are very averse to moving again. It is relatively common to be a post-doc in an AMC and stay on as faculty. It happens, but is very unusual in a psychology department. In part just because they are usually much, much smaller and positions are hard money. That might be a reason to steer towards AMCs. Otherwise, I'd apply to both and decide once you have more info.