Our business is not brick-and-mortar as it doesn't have local physical locations but it does serve many locations. Is there still any way to advertise it locally?
There sure is - that is what I have specialized in over the past few years. If it does serve a local audience and you live in the location that it serves you can still rank in Google local by just providing your zip code, map edit, etc. to the Google local business center online. I know many people here in Colroado that don't have a brick and mortar location and they still get on the first page of Google in the "local business results" and Google does allow you to put in that there is "no parking available". I would also suggest doing this and putting in your Google local description of the business that you prefer contact by phone or email. Google isn't alone, Microsoft/Bing allows this type of add for local marketing as well AND for one business I ave as a client here in CO they where ranked on the 1st page of Bing for there service and local modifiers (city name, zip, area code, etc.) within 14 hours! PM me for help on this subject and I can point you in the right direction.
Getting yourself entered in Google maps is a good way. Getting yourself listed on sites like yelp and citysearch may also help, depending on what you're specifically doing.