I am sorry to appear to be the one to look negatively on this, I love the fact your thinking creatively and exploring possibilities but there are two areas you appear to not really know enough about, bikes and engineering.
I don't wish to stop you from working your design or even building something in the end but please run it by some one qualified to comment on the mechanisms and strength before throwing any time/money/lives at a finished model.
Please note although I am an Engineer (boo hiss),I work in the risk obsessed and overly cautious world of medical devices, bikes are a hobby to which I can claim no professional qualifications on which to base the following.
My main areas of concern:
1- Main pivot, (as per posts on page 1) Design of off centre rear mono stay puts a large moment on the centrally aligned pivot. Pivot as shown would at least wear quickly and flex like a bow and at worst fail.
2-Main pivot , (as per page 3) Similar concerns about the mono stay putting a large moment on what looks to be a very under nourished pivot.
3-Main pivot (page 4), The clamp on pivot will be very difficult to secure enough to withstand the force coming through the stay, you also show it clamped to what is usually an area of extremely thin wall section on the seat tube. (Same goes for the welded version on page 5). This may result in damage to the the seat tube although it is less likely if you choose your tubing carefully. Your claim to have never seen a larger tube than 28.6mm OD does not fill me with confidence that you are in a possession of enough knowledge just yet to make this assessment.
4- Main pivot, "load spreader" (Page 5) more a comment than a concern but the design will do little to spread the load (unless you have the none drive side stay reinstated.doing away with the single stay approach)
5- Chainstays, Page 1 they are like noodles-simply won't work. The page 3 design stiffen things up a good deal, but I am not sure if it is enough. The weight will also be fairly hefty by this point...probably heavier than a (possibly) more suitable monocoque design) If you look at FS designs the ones that have the small diameter tubing chain stays "tend" to rely on a seat stay at a relatively obtuse angle to provide a bit of structure through maintaining a rear triangle to a greater degree. Bikes that have lost the seat stays (such as the Orange 5 etc) use far chunkier monocoque designs that offer far greater stiffness.
All of this is long before you need to start thinking about pedal bob or brake jacking.
Essentially the desire for a mono stay rear fork type shock is inherently difficult to channel force through the frame without it wanting to twist wildly. Your "rear fork crown" is creating a large lever that the compression force will be reacting against and creating a rotational force around the axis of the seat tube.
My advice to you would echo some of the others here.
Research, Look at bikes, new and old, look at how they work look at trends and common features.
Research, Look at fork & shock technology, Look at the types of tubes used in frame building and look at the methods of manufacture used to join them. Understand the properties of the materials
Research, Forces, vectors and torque.
At that point you may well be in a better position to approach this project. Until you have a little more knowledge and understanding you are simply making pretty pictures. (Also 3DSmax is about as useful for this sort of design as a jumbo pack of Crayola.)
Please don't let this put you off, as I said at the start it is fantastic to see creative thought and looking at new, eccentric ways of doing things, even if it is re-inventing the wheel. Please DO NOT take my word for granted, I am not a bike designer and I have never built a frame. But please do regard it as an opinion.