Maybe you could take the mint flavoured Prozac to a compounding pharmacy and have them mix it with a beef or chicken suspension. You might be able to sneak it into wet food after that. But if you do have to squirt in in his mouth still, it won't be as minty and offensive and might go better.
For the past month I've had to give a liquid med to Jimmy that is very bitter. He hates it. What I did was put down some food and let him eat it and then about half way through, I quietly sneak up behind him and kneel down with him between my knees. I quickly stuck the tip of the syringe in the side of his mouth and shot it in. He hated it but it worked. It got to the point where he'd keep looking up while eating trying to track me. lol but I was too sneaky for him.

There is an injectable antibiotic that is in the Clavamox family called Convenia and costs about 30.00 here in Canada. It is equivalent to two doses of Clavamox a day for 2 weeks and is in one single shot. Maybe you could ask your vet if Scout would be a candidate for that? That would reduce her stress level.
If your vet doesn't have it, they could borrow it from another clinic. (my vet did this for us because they had never had this in stock because it was so new but now they keep lots in stock).