I send an email to BA over a week ago and still no response. So I went ahead with AA. Great service and not at all expensive (tax wise):

1 BA 58 D 07JUN S CPTLHR HK1 815P 650A arr 08JUN
2 BAOPEN D LHRDXB DS1
3 BAOPEN D DXBLHR DS1
4 BAOPEN D LHRBOM DS1
5 CXOPEN D BOMBKK DS1
6 CXOPEN D BKKCMB DS1
7 CXOPEN D CMBSIN DS1
8 QFOPEN D SINPER DS1
9 QFOPEN D PERBNE DS1
10 QFOPEN D BNEAKL DS1
11 QFOPEN D AKLSYD DS1
12 AAOPEN D SYDHNL DS1
13 AAOPEN A HNLLAX DS1
14 AAOPEN A LAXMIA DS1
15 BAOPEN D MIALHR DS1
16 BAOPEN D LHRNBO DS1

Fare and Taxes:

BASE FARE TAXES TOTAL
ZAR45300 7102XT ZAR52402.00

XT 126ZA 120WC 10EV 2496GB
614UB 65AE 45WO 168TS
123SG 24QR 28QR 23WG
84WY 242US 43YC 55XY
39XA 59AY 356AU 28WG
459WY 96IA 156KK 307UB
36XF 1300YQ

Total to be debited: ZAR52 402.00 + ZAR236.00

Still a paper ticket now, but as soon as I have confirmed all my flights (with or without dummy dates) they will change it to an e-ticket free of charge.

Great service by Mindpearl!

If I ever get a quote from BA I will let you know...