I would see this as a good excuse to build the world's longest suspension span. Just to break world records. May be used to appease the voters. "we need a new bridge, and we also are going to make it a record breaker"
I have a feeling that the trustee representing the bondholders, and maybe the bondholders themselves, would not like that approach.
If they build it close to the existing spans, then they would need similar tower placements and pier placements to prevent erosion from the uneven current, and also to smooth flow under the main spans. I predict if they go that route, they will use a concrete cantiliver for the secondary span, and a solid deck suspension bridge with similar tower structure to the existing westbound bridge. Reduce the truss count as much as possible.
Only place where it could possibly go if not next to the existing spans, would be well to the south, between Calvert County on the Western Shore and Dorchester County on the Eastern Shore. But there are plenty of properties that have to be avoided on both sides of the Bay, including the Calvert Cliffs Nuclear Power Plant and the Cove Point LNG terminal.
There would certainly need to be extensive and expensive upgrading of existing roads on both sides of the bay (probably an entirely new approach road on the eastern side) and the crossing itself might need to be a bridge-tunnel instead of a bridge.
The replacement Tappan Zee Bridge is perhaps not a good comparison, but the main spans will be cable-stayed, and otherwise not much in the way of trusses to be seen.