I'm kind of the unofficial spokesman for airsickness in primary. I actually had more flights in the T-34 where I puked than flights where I didn't. I puked at least once in every stage of the training (Fams, BIs, PAs (lots and lots), Forms, and RIs). It sucks, but you will survive. Here are a few pointers I found.
First, to keep from getting sick (everyone's different. There's no "cure-all"):
I would eat about 20 minutes before we walked. Nothing heavy, like has been suggested (though that does work for some people). I used to eat a Cup-o-Noodles. They're cheap, easy on your stomach, and perfectly portioned to put food in your gut, but not over-fill you.
Ginger pills. You said you already used them, but keep at it. They're not a "never-puke" pill, but they will help keep the airsickness at bay. Take them when you eat the afore mentioned Cup-o-Noodles.
Look outside. This is key, especially during PAs. I actually had an instructor prohibit me from looking at my instruments during my PA maneuvers. He pointed out that if you ever watch the cockpit videos of aerobatic pilots, they're looking all over the place, but not inside the cockpit.
In BIs and RIs, once you put the hood up, stay under the hood. Don't pull the hood back until the flight is over.
Finally, get back on the controls ASAP. Puke, drink some water to get the taste out of your mouth, take back the controls. Stay with it. Also, use quart size Ziploc Freezer Bags. They don't leak, and they're easily sealed.
On a more serious note, here's some advice on staying away from an airsickness attrition:
Make it obvious you really want to be there. Show a willingness to do whatever is necessary to stay in the cockpit. Try every remedy anyone tells you, no matter how ridiculous it sounds. Ask all your IPs if they know any remedies. Don't go down without a fight.
Like I said before, get back on the controls. Show that you can still complete the flight after you get sick. The fewer "incomplete for airsickness" you have, the better.
Unfortunately, you may have to forget about strike. About 3 weeks before I selected we had a guy select from my squadron that had a 63 NSS. He had gotten sick on two of his early-stage fams, then gotten over it. He put jets as his first choice, but was passed up because of the airsickness. They gave him E-2/C-2s instead. I've never heard of it happening before or since, but I saw it with my own eyes. Just keep your options open.
Finally, on a positive note, I'm about to solo in the TH-57 and haven't felt remotely sick. Make it through. Remember, the T-34 is the worst aircraft in the entire Navy for airsickness (they'll quote that stat to you when you go to the FFSS airsickness prevention class). So, no matter where you go, it can only get better.