With that kind of heavy frequency I'm assuming the rest of the pressing girdle (pecs and tris) would have to take a bit of a back seat to accommodate the high workload?
Well its not all heavy. Day 1 is much lighter.
Being overhead press, id use small jumps in weight too.
2.5kg for week 2. 1.5kg thereafter possible.
And yep, id back off some work (but not all) from the triceps and shoulders.
It should work a treat. Ive been using basically the same principles for my lifts for ages. Also for my online guys. With some pretty solid results.
What Bazza says is true. Wanna press more? Press more. But do it intelligently.
You could start with what i suggested above with the goal of moving all 3 sessions into 1 week. This is my preferred setup for a lagging lift. But becausw you press only once per 11 days, i suggested a modest increase in frequency to begin with. First two weeks id want 3 sessions. Next two weeks, you might do 4 (so day 1 happens in that second week obviously). Then 5. Then 6.
When it gets too hard and progress stalls, deload, bring the weights back a few weeks and ramp up again.
Tim.