As a part time cabinetmaker I can tell you what a lot of people do to keep within a budget.
Don't change your cabinet, just change the doors to match the counter top. Once the doors are removed, many people paint both the outside and inside of the cabinet case, a neutral color or in some instances, match the kitchen etc. But, we have found that a good quality door, matching the counter top, will make the entire project look better than one might expect because the first thing everyone sees is the cabinet door. The money you would waste on all new cabinets can be put into beautiful doors without having to scrimp.