Having public work on your resume makes a big difference and it's what you should lead with. I know how it can be when everything you're paid to produce is used behind closed doors. It makes it really tough to demonstrate your chops.
NotifyWire.com (shutdown, but I can still demo) and PuppyShowdown.com in my portfolio get's me in the door pretty much anywhere I need. It shows you know how to produce a product, it's a conversation piece, it makes everything else on your resume more believable, and it separates you from 99% of other applicants.
Regarding time. Don't waste it on your job search. You need less than 2 hours a day to effectively look for a job (that leaves you 8-10 on re-tooling). Just like it takes very little energy to float in water, when people panic they flail about trying desperately to stay on the surface and then drown.