You have a point there, AlphaOne: if the Shivans were truly a post-scarcity society they wouldn't need gas miners.
I won't withdraw my suggestion, but I will admit that it's less likely than I first considered.
Assuming the Shivans use fusion engines like the GTVA does, wouldn't they still need the gas for fuel?
On the jump node blockade thing, I think they do have to jump in on a set point. The NTF obviously had to when they were running the blockades. Given, the Shivans are a lot more advanced than the NTF, but unless they came in through a different node and then jumped onto the node I think the nodal defense strategy is the best one.
A (massive) globe of RBC's backed up with Corvettes and Aeolus class cruisers (for the flak guns/aaaf's) and a strong fighter screen would be my preferred option. Enough RBC's removes the need for destroyers (they aren't good against fighters) on the node, corvettes can help defend against fighter runs on the RBC's. The best anti fighter defense would probably be Ares wings armed with Trebuchet's for breaking up fighter wings, and Erinyes and Perseus fighters for mopping up.
It wouldn't hold indefinitely, but this would kill anything RBC's could target, so anything above fighter/bomber size is instantly history. This leaves fighter/bomber attrition against the RBC's, which would probably be the deciding factor making anti fighter defenses the deciding factor. When, inevitably the Shivans start breaking the blockade I would start throwing robot piloted meson bombs through the node for the Shivans; not to take the node out per se, but I bet the Shivans would have follow up waves parked within 3KM of the other side of the node, and I am not a particularly graceful loser.
That, and not being able to get within 3KM of the node safely should buy enough time for remaining mobile forces to get a good head start to the next node. If the Shivans want to send in capital ships in the meantime then fine, whatever is left of the RBC's should should make that expensive. Finally, periodically dropping those previously robot piloted meson bombs on top of the fallen node should make things interesting for the ships coming through.
Maybe I do play
RTS's a little to much.