Given how many bean blocks can be created, it might be useful to have separate Context integration for it to make displaying Bean content via Context easier.
Something like this http://drupal.org/project/context_bean?
No? :) Imagine a context reaction that lets you select the beans, like you would normally with a block only without all of the normal blocks.
I see this more as a feature request for Context to improve their less-than-stellar UI. (Thanks for the plug though.)
Its not just Bean that has this problem, its also an issue with Views blocks, or any site that has a lot of blocks.
You could write your own reaction that extends block and only shows beans. Sounds like it would make a useful little contrib module, but I don't think this belongs as a part of the Bean module.
You might also consider placing Beans on pages using a different tool? There are a other ways to do it. Display suite, page manager, etc.
Ok, closing is a bit harsh. I don't think adding confusion to Context when one turns on Bean is a good idea. I do think it would make for helpful contrib module, but I think you could scope this out to not just help Bean, but other modules (such as Views) that add many new blocks to the list.
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