Chris, I agree with mostly what has already been stated, but, I would recommend an EX30 scrollsaw. If not the EX30, then a Hegner would be my next choice for this type of work. Buy as good a saw as you can afford, you won't be sorry for doing so. As to the thickness of the wood, I think that 1&3/4" would work perfectly with most if not all saws. You will need a good quality aggressive blade, personally, I prefer the Flying Dutchman brand. And for this type of cutting, I would suggest you try the polar series. Cutting wet wood is not something I enjoy doing, the blades don't clear the sawdust like they should because of the wetness. It would be better, if you could allow the blanks to dry some. I think you would have more success, if the wood is dry. Seeing as how your new to scrolling, I think your taking on quite the chore. It would be better to start out small, then work your way up to the larger things. I have been scrolling for over 20 years, and I don't think I would take this job on. It's just to much hassle working with wet wood. I wish you luck, and I do hope to see a finished product. Take care.
Len