Wow, the TO-220 package with no heatsink at all does 65C/W into ambient air with convection cooling. Even bolting a couple of bits of meccano will drop that to some 20C/W. The recommended heatsink must be tiny to achieve just 35C/W.
Does the board layout support getting a bigger heatsink (like an old cpu cooler, usually 1 to 0.2 C/W) and bolting all the hot devices to it?
If you want to know how to work it all out, [
www.mcmanis.com] should help. An interesting result is that he finds that a mosfet rated for 169A can carry just 13.8A without a heatsink.
PS: the heatsink recommended by that link from jaycar is 6C/W with convection cooling.