Radio communications lost on climb out in IMC: when can I turn on course?
Your assumptions are insufficient. 

If your clearance just states "CLIMB 6000 direct", and there are obstacles along the route, you have been given an incorrect clearance. 

It should have included the phrase "EXPECT" and an altitude and possibly also a time that would permit you to clear the obstacles.

Also, from your Skyvector link, it looks the Direct course parallels V97 very closely, which has an MEA of 5000, so you should not encounter any obstacles at 6,000.  Once you reach your clearance limit LOZ, you may initiate the approach.



Nevertheless If you lose comms you are expected to climb to the hugest altitude of 1. Your last clearance altitude 2. Minimum IFR altitude. 3. The altitude you were told to expect