Let me clarify some things.
1) The assignment I was given by my DM was to add 8 class levels to a CR 7 monster, using whatever template/base I wanted with the objective being to create as broken a creature as possible.
2) Half-Dragon template changes the monster type to Dragon; as per RAW Dragon's bite attack is always 1.5 STR. Normally, if you only have one head and acquire bite-attack twice, you get an additional 1/2 STR added to the bite attack (this is also the rule for Eidolons). However, RAW says a dragon's bite is "always" 1.5 STR. I think that the bonus strength from the blink dog's bite is lost because it is no longer its only primary attack. The automated monster advancer on the internet is telling me it should be 2X, but it has to be at least 1.5 by RAW.
3) The Monk FoB rules are:
Starting at 1st level, a monk can make a flurry of blows as a full-attack action.
When doing so, he may make one additional attack, taking a –2 penalty on all of his attack rolls, as if using the Two-Weapon Fighting feat. These attacks can be any combination of unarmed strikes and attacks with a monk special weapon (he does not need to use two weapons to utilize this ability).
Any combination means that you can use the same limb to throw all the attacks if you want to (like a boxer throwing jabs with the same fist). So Feral Combat Training Bite lets me use the bite attack in place of all the Unarmed Strikes, not just 1.
4)I found the FAQ thread for this, and the answer is yes I add the other BAB but no I do not get the extra attack, as I only get the extra attacks with Monk Level. http://paizo.com/threads/rzs2m42v?Multiclass-Monk-Flurry-of-Blows
In which case, my BAB would be +11/+11/+6, with a -2 = +9/+9/+4, +13 = +22/+22/+17.
TL;DR The FOB is only +22/+22/+17, still don't know if the strength is 2X or 1.5X on a bite.