I can't help you get there with Better Cut, but you can see 'em all thru one eyeball check: have you considered using gmail itself? You first decide which box would be your master box, so to speak. Then have that gmail box pull each of the others (don't know if there's a limit).
Among your options: configure gmail to apply a label to each; have one or more land in the master box's inbox, or wherever. You can arrange it so you automatically always answer with the addy to which the email was sent (this can be changed on an email-by-email basis, so you're not locked in).
In short, no 3rd party apps are required to realize your stated goal. Ya just have to know how to harness the inherent power of gmail. You could then delete the secondary accounts off of the Droid, since the one chosen as master will have all your mail.
It's worth repeating-- you can set it up so the secondary emails remain discrete, by applying a label to each via a filter. Your options include allowing the secondary mail to initially land in the master's inbox. After reading, a tap of the Droid's Archive button would then dump the email into its associated directory/label. In effect, you maintain multiple addys without the hassle you're currently confronting.
Googling > gmail multiple email addresses < yields assorted how-to instructions.