Chainsaws aren't what they used to be.
so true, you should see my mac 10 compared to my dads new stihl, there both the same size, and dont get me wrong stihl's are great saws, but that mac 10 is just a beast. the combination of no vibration dampening, and such an open exhaust make it feel so powerful.
As for the engine, no a 35cc saw wouldn't do much. Especially if its one of those Poulan, or other walmart type saws that aren't even fit for cutting saplings. Your best bet is finding either a sled, or MC engine. If you cant find something like that for cheap, try to find an old tiller, generator, woodsplitter, water pump, snowblower, or something like that with a good engine. Just make sure it doesnt have a tapered shaft.