まず

select * from 
(select 1 as n1, 2 as n2, 3 as n3, 4 as n4, 5 as n5, 6 as n6, 7 as n7, 8 as n8, 9 as n9, 10 as n10, 11 as n11, 12 as n12, 13 as n13, 14 as n14, 15 as n15, 16 as n16, 17 as n17, 18 as n18, 19 as n19, 20 as n20, 21 as n21, 22 as n22, 23 as n23, 24 as n24, 25 as n25, 26 as n26, 27 as n27, 28 as n28, 29 as n29, 30 as n30, 31 as n31, 32 as n32, 33 as n33, 34 as n34, 35 as n35, 36 as n36, 37 as n37, 38 as n38, 39 as n39, 40 as n40, 41 as n41, 42 as n42, 43 as n43, 44 as n44, 45 as n45, 46 as n46, 47 as n47, 48 as n48, 49 as n49, 50 as n50, 51 as n51, 52 as n52, 53 as n53, 54 as n54, 55 as n55, 56 as n56, 57 as n57, 58 as n58, 59 as n59, 60 as n60, 61 as n61, 62 as n62, 63 as n63, 64 as n64, 65 as n65, 66 as n66, 67 as n67, 68 as n68, 69 as n69, 70 as n70, 71 as n71, 72 as n72, 73 as n73, 74 as n74, 75 as n75, 76 as n76, 77 as n77, 78 as n78, 79 as n79, 80 as n80, 81 as n81, 82 as n82, 83 as n83, 84 as n84, 85 as n85, 86 as n86, 87 as n87, 88 as n88, 89 as n89, 90 as n90, 91 as n91, 92 as n92, 93 as n93, 94 as n94, 95 as n95, 96 as n96, 97 as n97, 98 as n98, 99 as n99, 100 as n100),
-- 343回繰り返し
(select 1 as n1, 2 as n2, 3 as n3, 4 as n4, 5 as n5, 6 as n6, 7 as n7, 8 as n8, 9 as n9, 10 as n10, 11 as n11, 12 as n12, 13 as n13, 14 as n14, 15 as n15, 16 as n16, 17 as n17, 18 as n18, 19 as n19, 20 as n20, 21 as n21, 22 as n22, 23 as n23, 24 as n24, 25 as n25, 26 as n26, 27 as n27, 28 as n28, 29 as n29, 30 as n30, 31 as n31, 32 as n32, 33 as n33, 34 as n34, 35 as n35, 36 as n36, 37 as n37, 38 as n38, 39 as n39, 40 as n40, 41 as n41, 42 as n42, 43 as n43, 44 as n44, 45 as n45, 46 as n46, 47 as n47, 48 as n48, 49 as n49, 50 as n50, 51 as n51, 52 as n52, 53 as n53, 54 as n54, 55 as n55, 56 as n56, 57 as n57, 58 as n58, 59 as n59, 60 as n60, 61 as n61, 62 as n62, 63 as n63, 64 as n64, 65 as n65, 66 as n66, 67 as n67, 68 as n68, 69 as n69, 70 as n70, 71 as n71, 72 as n72, 73 as n73, 74 as n74, 75 as n75, 76 as n76, 77 as n77, 78 as n78, 79 as n79, 80 as n80, 81 as n81, 82 as n82, 83 as n83, 84 as n84, 85 as n85, 86 as n86, 87 as n87, 88 as n88, 89 as n89, 90 as n90, 91 as n91, 92 as n92, 93 as n93, 94 as n94, 95 as n95, 96 as n96, 97 as n97, 98 as n98, 99 as n99, 100 as n100)

上記のような SQL を実行すると、実テーブルからの読み込み量が 0B で、下記のような結果が出てきます。

テーブルへの保存

Query の結果が出るのであれば、Destination Table 設定によって新しいテーブルに保存(Write, OverWrite)したり、既存のテーブルに追記（Append）することが出来ると分かると思います。
select * from a, b, c のような書き方は標準 SQL では cross join ですが、BigQuery では UNION ALL として動きます。
BigQuery では、１つの FROM 節につき、1,000 個まで UNION ALL することが出来ます。ただし、1,000 件 UNION ALL する SQL をサブクエリーにして、さらに UNION ALL でネストすることは可能なので、理論上は SQL サイズ制限（後述）に当たらない限り増やせます。

使いどころ

JOIN のタネとして

例えば PostgreSQL で分析するときに

select *
  from hoges as h
  join (values(1, 'taro'), (2, 'jiro'), (3, 'saburo')) as target_users(id, name) on h.id = target_users.id

とか

    select year::text || '-' || lpad(month::text, 2, '0')
      from (select year from generate_series(2014, 2015) as years(year)) as years
cross join (select month from generate_series(1, 12) as months(month)) as months;

のような、ジェネレーターによるリレーションを使ったクエリーを書く場合があると思います。
BigQuery には values も generate_series も無いですが、今回の方法で頑張れば、なんとか代用になるはずです

streaming inserts 課金回避チートとして

アプリ側で 1,000 件ずつバッファして、溜まるか一定時間経ったら select 経由で既存テーブルに Append するというような方法で、疑似 streaming inserts が実現できそうです（やってない）。
ただ、streaming inserts と比べるとスループットが段違いに遅い（今回の例で４０秒くらいかかる）ので、速度が重要じゃなく、料金を節約したいなどの場合のみ有効という事になると思います。
また、更に遅くてもいいなら、素直に GCS 経由で load をしていけばいいだけなので、単に「できなくない」レベルの小技と言えるでしょう。
後述する「注意点」にあるような制限に当たる可能性も高いので、特にオススメはしません。
※ 一応ドキュメントを通して読んで、禁止はされていないという認識ですが「これ、マズイだろ」という情報をお持ちの方がいらっしゃいましたら、お教え頂けると助かります。

注意点

BigQuery の制限に当たらないように運用する必要があります。

１日 20,000 クエリー制限

Daily limit (shared between interactive and batch queries): 20,000 queries. Queries that return cached results do count against this limit.

あんまりバカスカ使ってると、この上限に当たってしまって、運用が止まってしまうので気をつけましょう

１テーブルにつき、１日 1,000 更新まで

Daily update limit: 1,000 updates per table per day; applies only to the destination table in a query.

streaming inserts の代わりに Append しまくってると、この上限にあたる恐れがあります
幸いテーブル毎の制限なので、適宜シャーディングしつつ、定期的にバッチでまとめてやるなどの対応が有効と思われます

１クエリーにつき SQL は 256KB くらいまで

Maximum query length: 256 KB

今回の例では 345 行を出力していますが、346 行以上になると下記のようなエラーが出ます

Exceeded memory limit during query parsing. Aborting the parse at: 347:1052

SQL のサイズは 367KB くらいだったので、（圧縮後）256KB と言っている制限とも合致しますね