NaBH(CH3COO)3 or NaBH4/CH3COOH does also not work, because it does also reduce indole.
Source: Rhodium archive - several documents on triacetoxyborohydride and NabH4 in carboxylic acid media are mentioning reduction of indoles with it and some derivates.
This seems to be true. Interestingly enough, after the indole is reduced all the way to the indoline, TCCA at 0*C can probably oxidize the indoline back to indole (the tertiary amine in DMT will probably satisfy the need for TEA). See
Facile and Efficient One-Pot Synthesis of beta-Carbolines
Jian-Guo Tanga; Han Liu; Zhong-Yu Zhou; Ji-Kai Liu
Synthetic Communications Volume 40, Issue 10, 2010, Pages 1411 - 1417
A mild and efficient dehydrogenation of indolines
Ulf Tilstam, Michael Harre, Thilo Heckrodt and Hilmar Weinmann
Tetrahedron Letters Volume 42, Issue 32, 6 August 2001, Pages 5385-5387
Solid Phase Synthesis of ?- Carbolines.
Jing Xin ZHANG, Xiao Chuan TAN, Ping XIE
Chinese Chemical Letters 2000 Vol. 11, No. 11, pp. 955?956