I run 2 IC-7000's in my portable station. I use one primarily for HF voice and digital modes like MT63 and Olivia. The other I use for Pactor/Airmail on HF and to monitor 2 meter for local Ares/Races traffic interoperability.
For the one I use for Pactor AND 2 meter, I have a 2 meter vertical and a seperate HF feed coax which goes to an A/B antenna switch.
The other radio has only an HF coax going to the A/B antenna switch.
Now when I'm set up in my RV, the A/B antenna switch for HF goes to my Palstar balanced line antenna tuner. That is attached to an 80 meter dipole.
If I deploy where I cannot take my RV, the A/B switch goes to my LDG AT-200Pro auto-tuner. That feeds a portable AS-2259/GR NVIS antenna. I also have a mag-mount 2 meter antenna. This leaves me pretty portable as well as frequency agile.
As to power, I have a intelligent float charger in my case which runs off of 110v. It is connected to an absorbed glass mat battery. The battery is hooked into a DC power block which powers all the station gear. I also have a 12 volt power supply to run my laptop as it controls all my digital ops.
If I deploy, I just unplug the PS from the wall and when my battery needs charging, I plug into a portable generator.
In my humble opinion, you need a portable HF antenna for the IC-7000 (like the AS-2259/GR which you can homebrew), and a portable 2 meter antenna you can stick up anywhere you find yourself for the 2 meter rig.
Here is a recipe for a homebrewed AS-2259/GR:
http://home.centurytel.net/w9wis/NVIS.htmlHere is a really great article on using NVIS HF antennas for Emcomms and pictures of some great antenna/tuner setups:
http://txarmymars.org/lews_corner/NVIS%20ANTENNA%20THEORY%20AND%20DESIGN.pdfETA: I leave the back of the box open and have never had any heat issues with 2 radios, a pactor modem, power supply, rigblaster pro, and the antenna tuner running at the same time.