Since you have the insulation out, it'd be easy to work on whatever you'd like to do.
I have the same tiny over hangs as you do, and only two soffit vents, both half clogged with paint. It'd be very simple to purchase some narrow floor registers and install them as soffit vents. Then, take some cardboard and staple it across the rafters on either side of the vents. Run the cardboard up about 12" higher than you plan on putting in your insulation. Then when you blow it in, you can just fill everything up to your hearts content as long as you don't go over the cardboard. Since you have gable vents, you could also invest in some type of solar fan and point the fan out of the gable vent. Then you're drawing cooler air from under the eave, out the gable, and will have airflow without it being "windy" in the attic.
I added more blown-in at my house and two other houses in the neighborhood last fall, and it's pretty easy to leave a gap between the fill and the roof where ever you want. I had the idea of doing exactly what I told you to do, but was too lazy to actually do it myself. Instead, where ever I could see sunlight from the eaves, I just filled as close to the roof as I could while still seeing sunlight.
Blow-in is cheaper than the Cellulose or whatever the gray stuff is. The gray stuff is supposed to be better than the fiberglass, but it's gray because it's just chopped up newspaper, supposedly.