作为建议,提议的意思,其用法有：后接[+v-ing] [+(that)] [+wh-] I suggest our going to the park on Sunday. 我建议我们星期天去公园. The dentist suggested that she (should) come another day. 牙医建议她改天再来. 你说的用法也可以见到,比如第一个例句,就可以改为： I suggest us going to the park on Sunday. 但us不是suggest的宾语,而是going的逻辑主语
