I would discourage this thought for two reasons: 1) The nose gear door
prevents exhaust heat damage and carbonmonoxide from enterting the
tunnel (if you used the forward close out piece attached to the strut) and
possibly into the cockpit.  2)  The aerodynamic affects may be significantly
detrimental.

What are the real issues causing the headaches?  The listers here will be
able to provide you with solutions and photos etc to help you solve the
problems.

Larry Henney