It would probably help me for you to include screenshots of your layout along with the control panels of any blocks that you think are misbehaving.
If you are getting distortion, try lowering the input level and/or some setting of the block itself. The phaser block operates internally on very low level signals and I believe that there is a large attenuation initially followed by boosting it back up later after the phase shifting itself. Also check the waveforms by looking at the Simulator->Scope view. I'm sure if something sounds distorted it will look distorted, so this might help you identify which things are causing the distortion. It's simple enough to temporarily connect some internal signal of your patch to one of the output block's connection pins so you can see it on the scope and hear it directly.
It's probably helpful for you to know that all of the modulation blocks are WET output only, except for the phaser block, which also offers a "Mix" output. In order for you to hear real flanging you have to mix the block's output together with the dry signal using a 2:1 mixer block, or if you are looking for a through-zero flanger, mix the flanger block's wet out with the fixed tap out. Also experiment with phase inversion of either the dry or delayed signal with flanging, it makes a HUGE difference.
Here's what I would do.
Start with a Servo Flanger block and a Sin/Cos LFO block. Adjust everything so that you are getting a vibrato. Now you can use the Sin/Cos outputs to do other things such as filtering or tremolo synchronized with the pitch LFO. Try to imagine what is happening physically to correlate it with the various LFO phases. Also consider that some interesting sounds may occur if you do things which do NOT directly correlate to the physical motions of a real device.
If you want to split the signal high/low so the bands can have individual processing, use the two pole SVF (State-Variable Filter) and use the high and low pass outputs. This acts like a low budget crossover. Regarding strategy on this, however, I would advise trying to build a single modulatable delay/filter/tremolo chain by itself first. Once you get that under control you can copy/paste and modify the blocks. Note that when you do this, you'll need to change the LFO assignments in one set of the Sin/Cos LFO and Servo Flanger blocks to avoid a conflict.
Use control smoothing on the LFO Rate control signal to give you that "smooth acceleration and braking" sound.