Great to see some action here
Definitely a 30" blade needed . I use a 30" rip and cross cut. For green oak a well set up 5tpi for cross cutting is perfect in my opinion. I know that more commonly folk use 6 tpi but I reckon that this is because they haven't got their hands on a good 5.
Anyway, my point is that tooth size shouldn't be an issue.
Our local saw sharpening Co can cut graduated teeth by skillfully manipulating the adjustment of the machine while it's chopping out the teeth - (That's about the only skillful thing they can do) -So all we need is skew back taper ground stiff spring tempered blades in blank form. and we can get our own teeth cut, both rip and cross cut.