Separate dishwasher drain (sink is on the island)

[dmpogo]

I have an island sink, but dishwasher is across an isle at the wall and has to be drained independently. The current setup (inherited with the house) utilizes a pretty long hose to drain under the floor (see the chart) and does not work well
http://www.phys.ualberta.ca/~pogosyan/misc/dwhookup_current.jpeg

From time to time dishwasher does not drain. If I unhook its drain hose (blue) from the long underfloor one (blank) and put it in the bucket, it works
just fine.

I though of replacing the black hose with a pipe. However I cannot get a pipe to stand up behind the dishwasher, so I still need a hose to go through the floor. Something like that
http://www.phys.ualberta.ca/~pogosyan/misc/dwhookup.jpeg

My questions are
1) Will it work and is it not against some obvious rules ?

If yes

2) How should I connect a shorter hose to the pipe ? Should I built a vent at the connection ? The hose will be coming not just from the top, but from a side, at what angle should I attach it ?

3) Should I move the P-trap to where the hose will attach ?

4) What diameter should the pipe be ?

[Terry]

Pretty funky.

It may be better to move the 1-1/2" p-trap closer to the DW.
You will need to vent the p-trap within 42" to prevent siphoning.
If you had an air gap on the counter, it would help to prevent water draining back to the dishwasher.

[dmpogo]

Pretty funky.

It may be better to move the 1-1/2" p-trap closer to the DW.
You will need to vent the p-trap within 42" to prevent siphoning.
If you had an air gap on the counter, it would help to prevent water draining back to the dishwasher.

Thanks, it is funky :) !
Just for my understanding, what is the advantage of moving the p-trap closer to DW ? (Currently it is next to the vented drain, so is withing 42" of vent)

[Terry]

You are the one that said the long hose wasn't working.

If the long hose works, then don't move the trap.