I didn't see the word "chunk" mentioned anywhere in the first two links. The third one has an option for minecarts to keep chunks loaded in the configuration file it seems though, so that one seems like a good option, although it also seems like a somewhat big plugin that would need a lot of features disabled before it could be used.
For the traincarts one, look in the incompatibilities, it mentions that that plugin has a chunk persistence part of it. The rest of the links though I simply did a search for carts/minecarts and looked if they said anything or implied chunk persistence or if I thought it MIGHT have that feature, and if they were recently updated. Traincarts and ForgePlugin really were the only hits that I got which were matches and were updated recently.
As for the minecartmania, sure the farming automation would be turned off. For the jumping thing, that could be fun to have (railguns, literally!) and the speed parts of it would allow the overworld rails to be used without having to build the netherrail (actually, the netherrail would still be useful, if you've seen how the area between spawntown portal and capital portal looks). We could keep most of the automation that is useful.
So you want to have Railcraft, but for a vanilla server?
No, just attempting to find something that will do the chunk persistence that rolling minecarts had.