BHM in UK

Yes, of course, you can do BHMS in U K.
Given below are some colleges in UK which offer the BHMS course:
The British School of Homoeopathy. Homelands Cottage. The Allen College of Homoeopathy. Salisbury Homeopathy College. The British Institute of Homoeopathy. Galway College of Homeopathy. The Homeopathy College. The College of Practical Homoeopathy (CPH) UK. The Contemporary College of Homoeopathy Ltd. Hope this helps you. Be free to share any problem you have.
GOOD LUCK.

As far as my knowledge goes, the chances for practicing Homeo are not brighter in countries like the UK and the USA, as they are very particular about the proven nature of Medicine.We in India , on the other hand have a great respect for Homeo medicine and there is no controversy here.So is the case with Ayurvedic Medicine.