Road bike vote here too. You might want to check Craigslist to see if there's a used one in good shape that you can pick up for cheap. Actually you might want to check CL anyway, depending on where you're located.
But you definitely don't need shocks for the kind of riding you're planning.
East Hill
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TRY EMPATHY & HAVE LOVE IN YOUR HEART, PERHAPS I'LL SEE YOU ON THE ROAD...