Excellent write-up :)

However, I would say that if you're going it alone, you can definitely get to the other mechs... if you use one of the mechs from your team's starting CP...

Angel's leech gun is very powerful in that it can steal an enemy's armor points & give them to you. It may be a bit time-consuming with this technique, but you can definitely solo your way past the uncaptured CPs' turrets & Epic simulated Bane troops.

Additionally, the AFS Mech's auto cannon & rocket attack are brutal weapons that can quickly tear through the CPs' turrets & forcefields. Then when taking out the Epic Bane inside, the Mech's ground pound or rocket attach can come in handy to knock them off their feet to give you a little bit more damage time over them.

Using either of these two, I'd suggest a run first for the centrally located CP. There you will find Grendel, and once in that beast, while it may feel like forever to walk to the next uncaptured CP, once you get there the Grendel will quickly tear through anything standing in your way.