It's important not to obsess too much.
There's nothing wrong soundwise putting the TT between the speakers. Remember they have minimum output 90º to the sound axis, so this is actually an area of minimum interference from sound waves.
There's nothing wrong with an integrated amp either. It isn't necessary to run monoblocs so that the amps can be right behind the speakers - indeed the amps like to see a bit of load from speaker wires. Anyhow, if your speakers are 10 feet apart, and few are much more, then there will be only 5 foot runs of cable.
Connect the TT to the amp with short wires, this is essential. So put the amp under the TT. Although a wood stand can be heavy, whatever material floor you have it is worth having a lot more mass. My system stands on a support made of big pieces of marble and stone. All in all it must weigh nearly 1000 pounds. That won't vibrate or go anywhere. I have a concrete slab floor and the marble base is spiked to it.
I run my whole system balanced from cartridge to power amp. But with the layout I recommend above, you won't need 14 feet x2 of expensive interconnect, so no wait required.