I searched the Internet for an answer last night and found nothing. Of course, today after posting this question I try again--and find an adequate response almost immediately.
The gist of it? Put your commands in a text file and direct it to SQLite using the input file descriptor, or just script everything in a bash script.
###First Method:
sqlite3 database.db < commands.txt
###Second Method:
#!/bin/bash --
sqlite3 -batch $1 <<"EOF"
CREATE TABLE log_entry ( <snip> );
.separator "\t"
.import logfile.log log_entry
EOF
And then on the command line:
import.sh database.db