I'm thinking if Bill O'Brien ends up in Houston and/or Josh Mcdaniels ends up in Cleveland no player is going to benefit more financially than Edelman. Even if NE wants to keep him I would fully expect both of these coaches to show interest and drive up his price.
Amendola is signed next year for $3 million, of which $2 million is guaranteed. For next seasons cap purposes it would actually be less of a cap hit to keep Amendola than to cut him so don't see that happening. But if they really prefer to keep Edelman I'd not rule out a trade, especially if Mcdaniels ends up as a HC. They would still have a cap hit if they traded him but they would at least get out of the $2million guarantee.
I agree that Edelman is going to have a market this year. He stayed healthy and had a great season. Last year, IIRC, he was making free agency visits in a boot. He should be able to cash in this year, relatively speaking.
Not sure why you're takling about cutting/trading Amendola though.
Because some people think NE should cut Amendola and sign Edelman. Pointing out that financially it does not make sense to cut Amendola. Trading him however is more financially viable if NE really wanted to go that route. Personally don't see either happening, instead the Pats will just lose Edelman to FA.