Frame that takes 700x35 I'm looking for a new frame. My only requisite is that the frame should be able to take 700x35 wheels (the type of wheel I want).

How can I know if a frame is suitable or not for these kind of wheels?
When you buy a frame, they state the wheel type (it should have the right hub spacing for frame, braking surface (disc/rim brake) and rim size for the type of wheel the frame was intended to run and the size of tire you are intending to run) and tire clearance with it. Note that the tread pattern also affects clearance - if you have very aggressive tread or studded tires, you may not be able to fit the tire even if its the size they state. If its not stated, all you can do is get the frame and test a wheel+tire combination you want to use (your LBS will be helpful for this).

Some brands are known to have big clearance for tires, such as Surly (they market it as "FFF" - Fatties fit fine). Generally, the type of bike also affects clearance (fat bikes > mountain bikes > touring road bikes or cross bikes > road racers, for example). Most road racers won't clear a 700x35 tire, but most touring bikes and cross bikes will have no problem. A lot of 700c hybrids will also fit the 700x35 tire size, so the types of bikes which fit this tire size are pretty wide.