Hello and welcome to Reef2Reef!
350 pounds is A LOT of rock lol! What size tank did you get?
You can absolutely reuse old rock that was previously used but has now dried out. You would need to thoroughly clean the rock of all the organic material that is left over from when the rock was last used. If you don't clean this material off your rocks and just place them in your new tank, all that organic stuff will start to decay in your tank and give you problems, I believe.
The fastest and easiest way I know of to clean up the rock is a bleach cure. This will oxidize organics and clean your rocks, and make them look new and white again. Do a search for bleach curing rock and I'm sure you'll find lots of info about it.
You can also put your rock in something like a Brute trash can with saltwater and a circ pump. You add beneficial bacterial, and let the whole thing "cook" until the bacteria breakdown all the organics. This is super easy, but takes weeks to months to complete.
And whatever you do with your old rocks, when you set up your new tank you can definitely do it all with dried, base rock, but arguably it's better to add at least a little, if not use all, real live rock. Using live rock brings a myriad of beneficial micro and even macro organisms to your tank, and gets it going more quickly.
You can buy good live rock at a quality Local Fish Store (LFS). Or, arguably "the best" live rock you can get is the maricultured live rock from places like Tampa Bay Saltwater. TBS takes dry base rock and sinks it down in the ocean off the coast of Florida, where it sits for many months. In this time, the rock becomes completely populated with all kinds of ocean life, most of which is very beneficial to your tank. They then pull the rock up out of the ocean and package and ship it to you. This all comes at a premium cost, but you get ocean-direct live rock just teaming with microbes, as well as a wide variety of critters like snails, crabs, macro algae, etc. You may also get some pests to deal with, but in my opinion it's worth it for the rock you get. They also have live sand.
https://tbsaltwater.com/
You can start your tank with all dead rock, or if it's affordable you could go with all live rock, or you can do like 90% dry base rock, and just 10% live rock. The little bit of live rock will "seed" the dry rock and in time all the rock will be thriving and "alive".
Whatever you choose, best of luck with your new tank! Please let us know if you have further questions.