Technically, this is not okay. Wiremold® and other similar products are not typically listed for use with power-supply cords, cordsets, or other similar cables. They're designed to contain data, communications, and audio video cables. See this answer for more details.
Check the manufacturer's documentation, to determine exactly what types of cables are allowed in the specific product you're using.
As for plugging the surge strip into the extension cord, that's definitely not allowed. There should be a label on the strip, or in the documentation included with the strip that says not to plug it into another strip of extension cord.
UL White Book 2013
Relocatable Power Taps (XBYS)
...Relocatable power taps are intended to be directly connected to a permanently installed branch circuit receptacle. Relocatable power taps are not intended to be series connected (daisy chained) to other relocatable power taps or to extension cords.
The common solution to this problem, is to use a kit designed for this, like the one described in this answer. Though with a system like this, you'll have to cut holes in the wall.
If the wire management channel is a listed raceway, then you shouldn't be running power and communications cables through it together. Unless the raceway is divided for the entire length.
National Electrical Code 2014
Chapter 8 Communications Systems
Article 800 Communications Circuits
800.133 Installation of Communications Wires, Cables,
and Equipment.
(A) Separation from Other Conductors.
(1) In Raceways, Cable Trays, Boxes, Cables, Enclosures and Cable Routing Assemblies.
(d) Electric Light, Power, Class 1, Non–Power-Limited
Fire Alarm, and Medium-Power Network-Powered Broadband
Communications Circuits in Raceways, Compartments,
and Boxes. Communications conductors shall not be placed in
any raceway, compartment, outlet box, junction box, or similar
fitting with conductors of electric light, power, Class 1, non–
power-limited fire alarm, or medium-power network-powered
broadband communications circuits.
Exception No. 1: Where all of the conductors of electric
light, power, Class 1, non–power-limited fire alarm, and
medium-power network-powered broadband communications
circuits are separated from all of the conductors of communications
circuits by a permanent barrier or listed divider.
Don't
Just coil it up and tape it to the side of the box. Then put the box away, or sell it, depending if you have any future need for cable. The coiling interior to the box to make them work is more complex than it appears on casual inspection, and getting the box tangled so it won't "just pull out" is far worse than having some coiled cable on the outside. How do I know? 300 feet of miserably tangled cable in a box that I had to fight with until I used it up, got a new box, and NEVER tried that foolishness again. Network wiring is part of what I do for a living.
Best Answer
We just had the Fire Marshall visit our business and give us a fire inspection.
We got wrote up for several things.
Note: You probably won't find the long cord power strips locally, I would try online for the country appropriate type you need. Industrial/Commercial applications or Server applications tend to have the longer cords.
Zip Cord Multi-outlet Extension Cord - No Circuit Breaker, No Outer Jacket on cable (arrow to best view). In the US, this is referred to as Zip Cord as the grooves in the insulation allow for the different conductors to be Zipped apart for termination. The insulation will tear along the groove. The insulation is soft, easily penetrated and abraded, and with age, can crack and expose conductors. It is also easily kinked which can break the inner conductor leading to a high resistance fusible fire starter which is also why there is a US code requirement for Arc Fault circuit breakers to be used on rooms where corded lamps are likely to be used now. AKA Lamp Cord.
Jacketed SJO Cord - SJO style cord with individual conductors, fiber filler and protective outer jacket which also may unfortunately be referred to as zip cord as it can have an internal string to allow cutting the outer jacket when pulled to expose the inner conductors.