Now that you have elaborated some of the details, would'nt it be wise to do a little drafting of the proposed design, with details of materials, connections, weldments, and have same reviewed by a structural engineer ? If this were me, I'd hire one on retainer, provide the design criteria and let him/her design something like this, with a safety margin, and some fabrication details included.
The way I see it, point loading a rig that you fabricate, without having any idea of what the span will safely hold, nor having any criteria to fabricate from that has at least been calculated, checked or given even an informal cursory review by an engineer is = to guessing. Not rocket science, nor will it take long to do the checks, analysis and or calculations to at least determine what member is suitable for a span on rollers (your dollies), connection details, bracing, and weld type/sizes etc.
Reason I mention this, is that in my construction career working on all kinds of large commercial building projects, many times we would have to solve problems that required fabricating things, modifying existing designs, use special non typical rigging, placing loads on things, all needed to be checked by an engineer, many times stamped calculations and details provided to back it up, or for approval prior to.
There is risk involved if you don't, if that thing fails, 12 ton is no joke, same weight as what some genius's tried to pick with nylon slings, that poor decision toppled a tower crane recently, and killed 7 people. The lesson here is not to arbitrarily select materials for usage in structual applications without absolutely knowing their safe working capacity. You may hit it right with the member for the span, then again you may undersize it, and you still have other components to coordinate into the design, further complicating matters. How do you really know it's a sound design if no analysis, checks or calc's are performed ? For what a licensed professional engineer costs to hire, for something like this, a good P.E. should be able to figure that out in a day, then you fabricate per the design and details provided, with confidence, and with approved materials. I dunno, maybe I'm missing something, but this sounds like a rigging job that should be checked thoroughly, you'll come out ahead in the long run, cost of an engineer, buying out materials 1x and knowing your'e within safe working loads vs. structural failure and losing that load.... something to be considered here.