I think that 20" would be asking more of the saw than it can provide. I would normally consider a 16" bar to be the maximum for a saw of that displacement, and even then it wouldn't be particularly lively in anything other than pine. Can it be done? I suspect so. Would I want to do it with any frequency? Probably not. Remember, a 16" bar can handle material up to 32". A 20" bar would work on material up to 40".
If you are needing to make a couple cuts in really big wood, I think the earlier suggestion of hooking up with someone with a bigger saw is a good idea. Renting a big saw from time to time might be a good idea, too. But if you anticipate needing to make big cuts more often, then it might not be a bad idea to pick up a second, bigger saw for those instances.
For what it's worth, I run a 20" bar on my 80cc saw and a 16" on my 56cc saw.