http://www.ilevel.com/literature/TJ-4000.pdf
Here's a link to a popular I-joist company. It has a lot of technical data in it, but the longer you read it, the more you understand. There is a table almost all the way at the bottom of the page for roof application span limits. From the info you provided, it looks like the max span is around 31'-8". So you are right around the max for this type of rafter. It also specifies that a support beam is needed at the ridge. A ridge rafter is not sufficient. That being the case, an engineer would have to come up with something. If you choose to go with this type of roof, you will have to modify your plans to meet their specifications. I think if you shop around, you will find that trusses will be quite a bit more expensive, so it might pay to slightly modify your plans, to stick with I-Joists. There is contact info on the page also.
While an open floor plan is very attractive, I would like to point out that at the highest point, your ceiling will be around 20 or more feet tall. Depending on your area, and how high your heating costs are, you might end up paying an arm and a leg for heat. I went into a house once to change the light bulbs in a very high chandelier. I almost passed out from the heat. It was upwards of 95 degrees up there!