Well, in fairness, for 7 out of those eight weeks I did have a squat rack which I could use for lockouts and it barely went low enough to do floor presses. But now I don't, so I'm in the same boat as you.
You can do plenty without a power rack though. The only limits you have in bench press are that you can't really do lockouts or floor presses. On speed day you don't need a power rack. Incline press, decline press, flat bench, board presses, illegal wides, or any of those with different grips are good for max effort. It seems like you're just beginning like me and if you find your weak point just cycle in max effort exercises that work that point and concentrate on acceleration on speed day, and you'll get 50 lbs onto your bench like magic. My weakness was about 2 inches off my chest so I did floor presses, and illegal wides for two mini-cycles and incline press and rack lockouts from about 5 inches off my chest for the other 2 cycles.
On speed day I'd always follow up my speed sets with a close grip barbell exercise and work up to a heavy set of 3 or 5 and then I would do shoulders and be done, so my tri's would be healed by ME day. Then on ME day once I finished the main exercise I'd do dumbell work on my triceps (usually extensions letting my elbows roll back) with high reps and short rest periods, usually followed by a superset of pushdowns to really get some growth since you have longer time to heal.
I don't know what I'm going to do for my squat and DL though. My advice to you is to find another gym, which is exactly what i'm going to do. anyway, hope that helps.