Well, a 35 psi limit seems awfully low. I'm certainly no tire expert, but I haven't seen ratings like that for a while. The tires I'm running on my mtb right now have an upper limit of 80 psi. Also, manufacturer's ratings are purposely set with a wide safety margin to protect themselves from possible litigation. So...I'm tempted to say it's fine. Also, over-inflated tubes rarely cause tires to unseat, in my experience, and generally fail at the valve-stem first. The exception is when you're using a slightly too-large tube and a slightly too small tire...I have seen that before.

Anyways. It seems a bit ********, frankly, to risk it. The possible damage is considerable, however unlikely. Tires are cheap. Buy ones that work for you.