I would highly recommend that you do so - nothing to lose and everything to gain if you have the misfortune to have to force land on inhospitable terrain or sparsely populated areas.
Not sure what type you are flying but only take the direct route over the high ground if the weather is perfect for VFR and read up on the effect of wind over mountains etc - I think there may be an AIC which covers this.
Remember also to ensure the flight plan is closed if you have to divert to an airfield which is not on the AFTN otherwise they will have search and rescue out looking for you unecessarily!