congratulations on your marriage
as the spouse of the applicant, your finances are not really taken into account when determining whether you are eligible to be a sponsor. however, there are some other people in this forum who are dependent on their parents, and they have included letters and documentation from the parents indicating that the parents are willing and able to assist financially. all CIC needs to see from a spouse is that there is a plan in place for how the applicant will be taken care of.
the fact that you are student will have absolutely no bearing on how long the process takes.
this is the CIC website which lists the average processing times: http://www.cic.gc.ca/english/information/times/perm-fc.asp you can see the difference in how long an inland application takes vs an outland application through the London office. each option has its pros and cons.. nobody can tell you which is a better option because it comes down to personal choice - can you and your husband afford to be together for an extended period of time with him not working? can your relationship withstand the strain that financial hardships can cause? are you able to maintain a long-distance relationship for an indefinite amount of time? just a couple things to keep in mind when making the decision. good luck!