As I understand it, if my husband is a student in the UK, then I as his spouse can legally work full-time, is that correct? What kind of visa would I be on?

Also, once he finishes his course and ceases to be a student, is my best bet to work on an HSMP visa? Or should I consider other options?

Thanks!

Unless your husband is a UK citizen and you have a green card then the answer is NO !

Of course to help more fully we need to know both yours and his nationality.

Did you mean 'no' as in no I don't need a visa to work given that my husband will be a student?

I am a US citizen and my husband has a Green Card (he is an Indian citizen).

Thanks for responding Curlyben.

What I meant by NO is the fact you CANNOT work !

You need to check out the Government Immigration Site (http://www.ind.homeoffice.gov.uk/), also This site (http://www.workpermit.com/uk/uk.htm) deals specificly with work permits.
These site will give you all the information you need to work LEGALLY in this country