If you are looking for a free feedback or suggestion form builder, consider Bitrix24. The basic template is already provided but you can customize the form as needed. There are a number of advantages Bitrix24 offers over other feedback form creators. First, Bitrix24 doesn't limit the number of fields or submissions in the free plan - both are unlimited. Second, most free feedback form builders limit access to one user. In Bitrix24 up to 12 employees will be able to work with feedback forms and its results. Third, Bitrix24 feedback forms are embeddable, but don't require having a website - free public pages that host the forms will be generated for you.
Bitrix24 CRM manual is available here.
If you are interested in buying self hosted editions of Bitrix24, which come with API, CMS and source code, and can be easily customized
and integrated with other tools, please download trial version here.