If you’re talking about using a Route 53 ALIAS record, you cannot set the TTL on it, for this reason. It defaults to a low value, and is managed by AWS for you (to the world it appears as an A record, and it will change often).
If you’re using a CNAME, then you can set whatever TTL you like. The TTL of the DNS record for the load balancer’s domain will be low, but you don’t need to worry about that. Your only concern in this circumstance is whether you think you’ll be changing the load balancer name or repointing the name elsewhere. If you don’t plan to do that, you can set a high TTL to save a bit of money and milliseconds at load time.
Either way, the IP addresses themselves will change.
For help choosing between an ALIAS and CNAME record, see https://docs.aws.amazon.com/Route53/latest/DeveloperGuide/resource-record-sets-choosing-alias-non-alias.html. I’d usually recommend a CNAME unless you’re pointing your root domain, in which case you have to use an ALIAS.