I brewed a freshhop IPA last year in which I piked the hops and 10 minutes later they were in my brew kettle. Freshop ales have a slightly different character than ales brewed otherwise-- they're a bit more resinous sometimes, but are really nice and have a great hop character. You have to use more hops by weight though-- the extra water throws off measurements. Still, brewing a freshop is highly recommended.
Otherwise, I'm planning on using a food dehydrator this year with the hops leftover after brewing another freshop... that is, unless I read something here that sounds like a better plan.
My measurements for a freshop aren't the most scientific... I used this many (see photo) for the flavor hop addition (20 minutes in the boil) and then a few more handfuls in addition to a healthy dose of purchased hops for bittering and aroma. The rest were simcoe and amarillo that I purchased.