Here are some colleges which offer ISMH courses from KCET:

• Govt. Ayurveda Medical College    Bangalore
• Indian Institute Of Ayurvedic Medicine and Research    Bangalore
• Sri Kalabyraweshwara Ayurvedic Medical College and Hospital    Bangalore
• Sushrutha Ayurveda Medical College and Hospital    Anekal Taluk, bangalore
• Bapuji Ayurvedic Medical College    Savalanaga Road,Shimoga
• Bapuji Ayurvedic Medical College    Chitradurga - Dist
• J.S.S.Ayurvedic Medical College    Mysore
• Government Ayurveda Medical    Mysore
• S.D.M College of Ayurveda and Hospital    Hassan
• A.L.N Rao Memorial Ayurvedic Medical College    Chikmagalur Dist
• K.V.G.Ayurvedic Medical College    Dakshina Kannada-Dist
• S.D.M.Ayurveda College    Udupi Dist
• Sri Shivayogishwara Rural Ayurveda Medical College    Soundatti Taluk,Belgaum.
• J G Co-Op. Society`s Ayurvedic Medical College    Dist - Belgaum
• S.G.V.Ayurvedic Medical College    Bailahongala, Belgaum-Dist
• Dhanvanthari Ayurveda College    Nipani, Belgaum- Dist.
• LATTHE Education Societys Acharya Desh bhusan Ayurveda College.    Bedkihal
• Ayurveda Medical College    DHARWAD
• D.G.M.Ayurvedic Medical College    Dr S V Savadi Road,Gadag
• Bhagavan Mahaveer Jain Ayurvedic Medical College    PG Center, Gadag Dist.
• Rajiv Gandhi Ayurvedic Medical College    Gadag Dist.
• Sindhagi Shantaveereshwara Ayurvedic Medical College    Haveri

Here is a link for cutoff of last year: https://cdn.tardigrade.in/file/exam/kcet-2018-ismh-cutoff.pdf

Good luck!