Note: make sure you distinguish "make suggestions" & "ask for suggestions"
-make suggestions: eg: you could stay at home if it rains
-ask for suggestion: eg: "Where shall I put the vegetables?"
It seems that some resources say "we use shall or should to ask for suggestions, but not can, could, might or may"
What shall I do with these boxes?
Where should I put the vegetables?
But, this dictionary talks about "could"
Could: used in speech to make a polite request or suggestion .... “Where can I stay?” “Well, you could always stay with me.”
They say "could to make suggestions" & they don't say "could to ask for suggestions"
We can use "could" to make suggestions, eg: you could try glue if tape doesn't work
So, in this example
A: “Where can I stay?”
B: “Well, you could always stay with me.”
could in "you could always stay with me.” make a suggestion, but see the “Where can I stay?”, it seems that can in this case is asking for a suggestion.
My question is:
can we use "can", "could", "may" & "might" to ask for suggestions"?