As you mentioned, the Green Lynxes are pretty much ubiquitous, but the Brown, Bark, Striped, Florida, and Cougar Lynxes are best caught with a sweep net, or (as Joe mentions) a beat sheet.
I will have a blog post finished not too long from now, featuring both Joe himself (and yours truly) working the field with these tools (until we got rained-out :laugh: ), but they're pretty simple and you may already have seen them put to use. Striped and Florida Lynxes tend to be found in grasses and low bushes/shrubs, while Brown Lynxes are found in overhanging branches and Bark Lynxes tend to be on (you guessed it!) bark :biggrin:
I have only found the Cougar Lynxes in certain ecosystems in Marion County, however, so "location" can matter with certain species.