The phrase "different suggestion" is correct and usable in written English.
You can use this phrase when you want to point out or introduce another idea or proposal. For example, "We should consider a different suggestion--see if we can find a cheaper alternative to the materials we are using."
James Robinson emails with a different suggestion: "Apologies if this has been suggested already but I'd love to see the medals table recalibrated with 3 points for a gold, two for silver and one for bronze.
Professor Carol Cleland, of Colorado University, has a very different suggestion.
(Excellent calendar, by the way – every month a different suggestion for some way of using patchouli in your grooming regime).
One man called her at 5am every morning with a different suggestion for how to kill herself.
Since the meeting would be in "the benign city" of Philadelphia, he had a different suggestion: he would approach her in the lobby and say, "Hi, Mabel".
In January next year, the famous Galapagos tortoise Lonesome George is due to return to Ecuador. Henry Nicholls has a different suggestion though; why not send him on a world tour?
Depending on the type of concrete, curing conditions or experimental parameters in consideration, different suggestions and modifications of Eq. (4) were suggested by different researchers (Carino and Tank 1992; Kim et al. 1998, 2001; Kwon et al. 2014; Yi et al. 2005).
Other people made different suggestions.
"Of course the record label and management had different suggestions".
Every offer is unique to your financial situation, so two different users may see very different suggestions.
Lumi doesn't collect user data but presents different suggestions based on their local browsing history, so results improve and update as the user keeps browsing.
