Definitly no Heliamphora ! (they grow in Venezuela and the border to Brasilia)
I have been in Peru (and some other countries) three years ago but didn't watch out for carnivorous plants.
It is a phantastic country. I would highly recommend the Inka trail (without porters !), Chan Chan, Lake Titicaca, Arequipa, the Amazonas and the Huarascan area.
It is a country where you can spent 3 months hiking and it still will remain interesting.
Many, many, many things to see and friendly people, a nice climate (in the highlands) and a beautiful country overall.
I avoided the 8 million people city Lima and its slums.
have fun
Martin