Replacing front beam/header on small deck?
I have a small (8' x 10") deck and the front header joist (actually 2 2x6s joined together) is rotten through. I've inspected the rest of the deck (joists, posts, ledger, etc.) and all the rest seems fine. The joists run front to back (connecting to my rotten header with joist connectors) and the decking runs side to side. There is no beam under this section of the deck (it's off the side of a 3-season porch which does have beam support).
When I remove the rotten header, What is the best way to support the joists? Since there is solid support on the other 3 sides, I am thinking that the decking itself will be able to hold up some of the weight. Could I run a couple of 2x4s across the decking and screw them through to the joists (to the supported perimeter on each side)? Or should I just support from underneath with vertical 2x4s on cinder blocks?
I'm handy but still green and this is my first deck repair. thanks.