Dear Norman,
Thank you very much for your supporting comments. I would love to finally start quantitative consideration, but it is a really tough job: finding the exact Lagrangian combined with performing really difficult numerical simulations. Unfortunately I cannot find cooperation to work on such nonstandard approach, prof. Faber shares the belief of "complete soliton model" existence, but he focuses on much more complex trial of expanding his basic model. Maybe you could think of somebody who could be interested in cooperation to move such approach forward?
About "building up quantum phenomena" - while I was on Emergent Quantum Mechanics congress a year ago (proceedings), most of the speakers were talking about double-slit experiment ... I think there are already good intuitions where quantum phenomenas come from (e.g. by great Couder's experiments) - they are the consequences of two factors: the wave conjugated with particle and that QM is kind of thermodynamical level theory - averaging complex dynamics, what is greatly seen e.g. in the shell nuclear model. I believe it is finally the time to search for concrete models below this effective quantum description, but looking at the congress, there are very few people interested in finally making the next step ...
About combining "complete soliton approach" with different models, it doesn't leave freedom for that: we just take a simple field (e.g. real symmetric tensor field) and Lagrangian: kinetic term (like Faber's interpreting field curvature as electromagnetic field) and potential term (Higgs-like - with topologically nontrivial energy minimum) ... and ask for consequences. Of course there is some freedom of choosing Lagrangian within a single approach, but most of consequences are very stiff - topological. So basically it is all or nothing approach - a single essential qualitative discrepancy and it probably goes to trash.
So practically the only way to combine it with other models is to see them as its effect - what can be very valuable while choosing the Lagrangian or to disqualify given approach. Thank you for the Palazzi's phenomenological models - I will try to see them through my model.
Cheers