Colorado is one of several states that I would not be doing any back country hiking or camping this summer. The fire danger is extreme and many of the fires will not be out until snows.
Lightning in the high country can start a fire even if you don't with a cooking/campfire.

Totally avoiding the Colorado back country this summer seems a bit extreme, like avoiding a highway because there is a chance of accident. True, the fire risk this year is considerably higher than normal, so you should take that into consideration in your plans.

Here are the Forest Service sites you can monitor any restrictions or warnings:
http://www.dillonrangerdistrict.com/
http://www.fs.usda.gov/whiteriver

I've not been in the southern Gore Range where you are planning to go, so can't comment on your route. My trips have been to the north around Eagle's Nest or Peak C, using either the Cataract Lake or Piney River trails, which are spectacular.

Good information on the Gores is hard to come by. They are a little-known Colorado gem, partially because there are no 14'ers there, but look here:
http://www.summitpost.org/gore-range/170958

http://www.protrails.com/areas/view/41/0/summit_county_eagle_county_clear_creek_county

Here is a page on Red Peak:
http://www.summitpost.org/red-peak-west-demming-uneva-peak/152655

You could sign up to summitpost and ask your question in the Colorado board on the their forum. Good luck!

P.S. Here is the official Dillon Ranger District site:

http://www.fs.usda.gov/detail/whiteriver/about-forest/districts/?cid=fsbdev3_001245

Note that you are also at risk from falling trees. In fact a guy backpacking in Rocky Mountain National Park in 2007 was killed by one.

I would advise you to post this question on the backpacker.com forum page. There are far more backpackers on that site and you're much more likely to find someone that can answer your questions about the route you have planned.

I was looking for some other information but stumbled upon this Gore Range discussion:
http://www.14ers.com/phpBB3/viewtopic.php?f=24&t=35425

Note the tongue-in-cheek comment in the second post: Isn't "the first rule about the Gore Range is that you don't talk about the Gore Range". Plenty of options, but your original suggestion still seems good.