I'd say "do it yourself" too...but not if you value anything in the potential drop zone, or your own life and limb if you intend to climb those babies yourself....as they look to have the potential to be widowmakers.
In all honesty, I also don't see where you'd save any money by doing it yourself....you need at least a small climbing saw and a larger saw to deal with the trunks, plus climbing equipment and assorted rigging, plus a chipper, plus at least one (and two would be better) helpers to deal with it...and it's still a good days work for both trees.
Add it all up and it's cheaper if you can get a bid in the $1500 - $1900 range, which seems fair. The $2200 bid seems a little high to me for a twofer like that.
And there's the potential for those trees to cause a lot of damage if done by an amateur, so I'd make sure it's someone who's got the necessary insurance too.
If there was nothing around I'd be saying drop them yourself. Unfortunately, that's not the case.
(And I agree those are easy 90' - 100' trees judging by the photos.)