Any drawbacks to using 1985 LA block to build 408 stroker?

Yes I would have the block Sonic tested and Magnafluxed to make sure it is good to use. Staying with the LA block would allow me to use the same intake and other parts from my current engine (would save some money) vs going with a magnum. Also are things like aluminum heads more or less expensive for the Magnum?

I'm not sure what the number after 360 is on the side of the block, I guess I can check with the seller. What does the lower number mean?
With a Magnum block, the lack of oil passages to the head creates problems. There are a couple of ways to get around it.

Use trick flow heads
Use LA heads with Comp Cams Pro Magnum rockers that allow pushrod oiling.
Create your own oil feed line. It was shown here on FABO & done externally with oil feed lines to the back of Edelbrock head that you need to drill. EZ job once you know how to do it.
Drill the block