Amp emulation pedals for going direct in or headphones... which is best?

All of us at one time or another have been in a situation where you simply can’t play through an amp, but you need great tone. Sometimes it’s at church, playing in a praise and worship band, but you have to figure out how to get the best out of all of your pedals on your pedalboard and going direct to the soundboard sounds like poop. Maybe you live in an apartment and can’t crank an amp up. Perhaps your spouse just wants some peace and quiet but you feel the need to get your shred on. Whatever the reason, I bring you a couple of different ways to accomplish this. Enjoy :)