Is the Lightning Network used strictly for small transactions between two parties or can one party use it to send a large quantity of BTC (e.g. 35 BTC) to the other party? Is there any advantage to sending large amounts using the Lightning Network vs. using the normal bitcoin Blockchain?
If it's that big, no reason to NOT do it on-chain. Theoretically, you could send it via Lightning (if you find a channel) but I don't see any reason to use Lightning it's simply wasn't meant for this. LN is for small, instant payments. Use the right tools - you can also hit a nail with a wrench, but it's better and more comfortable to do it with a hammer.