You are not under continual bombardment. You are expelling energy continuously. You are continually bombarding your environment.
And, as long as the rate of bombardment is equally distributed around your entire surface area, and as long as the speed of the energy particles is very high compared to your own speed, then I don't see how inertia would be impacted.
However, it might explain some of the predicted behaviors at speeds near c as your "gravitons" start to build up in the direction you are travelling.
Shalom.
Especially if you're a young bachelor guy...