Is this Passive Solar Free Piston Stirling Cycle Possible?

Explantion:

OK very crude first sketch let me try to explain and you tell me if it sounds remotely workeable.

Like every other eco nut after the holy grail of energy, I'm trying to brainstorm a low cost solar CHP system. I'm of the opinion that passive solar is always going to win on a BTU/$ collected and that if the metric of success in an engine is $/kWhr over a lifetime that efficiency may not be as important as ease of maintenance, and upfront capital cost.

That being said I'm proposing building a low temperature differential stirling that runs on a hybrid passive solar collector. The hybridization component is the mirror wings, which under sunny conditions will increase temp and overall efficiencies, however unlike a pure concentrative machine it'll still OK on moderately cloudy days.

Since the differential pressures will be low and heat transfer is an issue I am thinking that a large air impermeable fabric accordion cylinder with a metal bottom could be coupled to a hydraulic pump to operate as a free piston hydraulic engine.

The dynamics of the engine could be controlled through hydraulic actuated valves. When the working piston is at the top of the stroke the inlet valve is opened, and the two exhaust valves are closed and the pressurized air expands the working piston downwards until either the stroke limit or lack of forward progress is reached. The the inlet valve is then closed, the two exhausts valves are opened and the LP resovoir in the hydraulic pump pushes the cylinder back until either stroke limit is reached or progress is stoped. Then the cycle begins again with the inlet valve opening and exhaust valves closing.

The stroke length would be controlled through regulating the low pressure resavoir and the high pressure resovoir pressures.

Does this cycle seems possible and more importantly remotely feasible?