vefigsThe two sentences above indicate possibility,
so I think may and might would be more appropriate.
These are
very deceptive. A suggestion is being solicited in the question,
so the answer must contain a suggestion.
A "maybe" statement is not a suggestion.
Maybe we'll go fishing (= We may go fishing) is not a suggestion.
And, of course, a statement of permission is not a suggestion either.
We are permitted to go fishing (= We may go fishing) is not a suggestion.
* * *
To
make a suggestion, a statement of ability is used. Here's how it
works: The ability to do something is a precondition for doing
it. If you don't have the ability to do something, of course
you'll never do it. By stating the ability precondition for doing
something, we invite the implication that it should or will be done without saying that it must be done, which is the essence of a suggestion.
We can go fishing is thus a suggestion. It states the ability precondition for going fishing. If we can't go fishing, we never will. But if we can
go fishing, we're part way to going fishing! We simply need
to use the 'going-fishing' ability that we have and there we are --
fishing!
In short, can is a typical word for making suggestions.
CJ