There exist wood-fired boilers that can be used in a radiant-heating system. I found at least two or three a few years back in a Google search, but I haven't bookmarked them.
For radiant floors, there's a really good alternative to Gypcrete at
www.warmboard.com" target="_blank">
www.warmboard.com. It's a bit pricey, but it avoids most of the drawbacks of Gypcrete, like high thermal mass causing slow response time, and difficulty of using some types of flooring. Warmboard is a system that uses 4'x8' sheets of 1-1/8" plywood subflooring with an aluminum sheet over the top, which is grooved to receive 1/2" PEX or PEX-AL-PEX tubing on 12" centers. This is used to construct the subfloor in the same way you would install a normal subfloor. People in the radiant industry who have used this system say that it has the highest thermal efficiency and best responsiveness of any radiant floor system out there.
Edited to add: A wood-fired boiler is usually used with a fairly large storage tank to store the heated water, which tends to come at a rather uneven rate from the boiler. (As I remember, those boilers do have a certain amount of ability to modulate the the fire by controlling the amount of air, but, as I recall, the level of control is somewhat limited. So you need a buffer tank.) You then use an injection piping system to extract the amount of heat you need from the buffer tank.
Edited again to add: I reread you original post, and realized that the house already exists. I'd read the last paragraph too fast and had thought you were preparing to build a house. So the information on Warmboards is obviously not relevant to what you are doing.
One of the beauties of a hydronic heating system is that you can feed it with hot water from many different kinds of sources. So it shouldn't be too hard to add a wood-fired boiler into your existing system.
With all the controls that Tekmar was
www.tekmarcontrols.com" target="_blank">
www.tekmarcontrols.com, you can probably put together a control system that will take whatever heat you have from the wood boiler, and then suplement from the oil-fired boiler only when you're not getting enough energy from the wood boiler.
I Googled "wood boiler", and here are the first three results. There appeared to be quite a few more, as well
www.freeheatmachine.com" target="_blank">
www.freeheatmachine.comwww.woodboilers.com" target="_blank">
www.woodboilers.comwww.centralboiler.com" target="_blank">
www.centralboiler.com