I thinking about trading my Truck in for a gt or a gtp if it could tow my motorcycle with no problems.

I dont have a trailer yet but the one im looking at getting has empty weight of 200lbs, the bike weighs around 400lbs, so total trailer weight is around 600. How would a GT or GTP perform with this behind? If the GTP could tow ( i heard that its not meant for towing anything) I would like to get that. The extra 60hp would be nice

Im also open to older models Grand Prixs probably 98 to 03, so if anyone has any info on those veichles if their different that would be nice...

Thanks for any info