Just note that Nikon camera bodies will continue to AF after f5.6, unlike Canon bodies which will stop AF if the camera detects the max aperture being smaller than f5.6 (excluding their 1D series bodies which will AF up to f8 and select midrange bodies which will also AF up to f8, but only in liveview mode).
Note however that whilst the Nikon bodies retain the AF functionality, they will, just like the Canons, lose a lot of speed and accuracy and will be very prone to hunting and losing focus. In short once you breach the f5.6 limit reliability goes out the window excepting in the best of light. When this is added to the optical quality drop it becomes a situation where you won't get much more than blurry record shots with difficulty on a 70-300mm type lens.
Honestly you're best move is two ways:
1) Improve fieldcraft to get physically closer to the subjects - not easy and in many ways the hardest part of wildlife photography and also the most critical
2) Save - yep start up a savings account or a money jar and keep saving for one of the better quality lenses on the market that will give you the range you need.
By all means go to the shop and try out the combo of your lens and a Kenko Teleconverter - but don't just review on camera - review on the computer; however for most people the quality drop is going to be too great (esp when combined with the AF effective loss).