Other than Karnataka express, there are 9 other weekly trains from Bangalore to Delhi - 5 days a week KSK via UBL KCG, 2 Days a week KSK via UBL PUNE and 2 days a week CDG KSK Via UBL PUNE. Also weekly SJ from Mysore. Now Rajdhani is proposed via UBL PUNE.
My suggestion would be to merge all these into 2 daily trains, and start from Mysore to Delhi. You will have 14 trains in a week. 4 days via SBC DMM KCG, 3 days via UBL PUNE MMR, 3 days via HAS UBL PUNE BRC KOTA and 2 days via SBC BAY HPT BJP SUR MMR and 2 days via HAS CTA BAY RC SC.
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Rajdhani. Make AC SF on SBC DMM KCG route and UBL PUNE BRC KOTA route.

I modify my proposals into 4 routes/ groups as below:

1. MYS SBC DMM KCG NZM - 3 days from Mysore and 2 days from SBC.
2 (a) MYS HAS UBL PUNE BRC KOTA 2 Days and (b) SBC TK UBL PUNE BRC KOTA 3 days.
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MYS HAS CTA BAY RC KCG 2 days a week.
4. SBC TK DVG HPT BJP SUR MMR 2 days a week.
Summary:
7 trains from Mysore
10 trains from Bangalore (7 starting from Bangalore plus 3 coming from Mysore)
7 trains via Arsikere, Kadur, Davanagere
5 trains via Hubli Belagavi Pune Kota
5 days via DMM KCG
5 days via Tumkur
4 days via Hassan
2 days via Chitradurga, Ballari, KCG
2 trains via Hospet Bijapur Solapur Manmad.

Entire SWR area gets connected to Delhi.