You will not get a waiver for depression meds. The military's thinking - at some point you'll need to go someplace where your access to meds will be cut off. They can't risk you being functionally out of commission in that situation.
Additionally, it may make it difficult/impossible to get a security clearance, should you need one.
Your recruiter may pressure you to "leave it out" of your MEPS physical. If I understand it, since you are taking the meds daily and seem to need it, not having them is not really an option. If you came in to the service, having lied about it, and then it comes out that this is a prior condition - your goose is cooked. (Can be changed under UCMJ, or military law). So don't lie.
There are some situations where I can understand (and even advise) people to leave items out of their physical - i.e. you broke your arm at age 6 and it healed without complications. It is irrelevant, will in no way shape or form impact your service, and will only be a speedbump in the paperwork. It sounds like your condition does not fall in that category, however. I'd look into other options - sorry to bust your bubble.