Sycamore (Platanus sp.) do not have really toxic properties, and should be fine. The may have flaking bark, but that is no danger to a Jackson's; a Veiled might be tempted to nosh on those however.
I think baking branches is unneeded, unless you live in an area with arboreal reptiles, and even then seems a bit silly. A good blast with the hose to get the dust off is all I do.