Hi Matthew,
Thanks for the clarification, so my best option is to install VSF with 2930F and deploy LAG to the stack core. If I install 2530/2540 they can't do stack and DT and I will have to use STP between them and the core.
One more doubt, for the 3810 and 5400 switches, is there any advantage of using DT when those switches support stacking? AFAIK, DT sees a LAG distributed between a pair of switches as if the links comes from the same logical switch (which is also true with backplane stacking and VSF), but the configuration is more complex and the two switches are still managed independently. So I don't see the point of using DT instead of forming a stack (backplane or VSF) and configuring a normal LAG with ports on both switches.
Regards,
Julián