Grok, please chart me a flight path at 10,500 feet from KEEN to KRNM across the Rocky Mountains with the lowest possible path through the Rocky Mountains

The flight from Dillant-Hopkins Airport (KEEN) in Keene, New Hampshire, to Ramona Airport (KRNM) in Ramona, California, spans approximately 2,300 nautical miles. At a constant cruise altitude of 10,500 feet MSL (a common VFR altitude for general aviation aircraft), a direct great-circle route would cross the central Rocky Mountains over high terrain in Colorado (e.g., near the Eisenhower Tunnel area at ~11,990 feet), requiring higher altitudes or deviations for safe clearance (typically 1,000–2,000 feet above the highest obstacle).
To achieve the lowest possible path through the Rocky Mountains while maintaining 10,500 feet, the recommended VFR route detours south through the Great Plains to cross the Continental Divide in southern New Mexico near Las Cruces (terrain ~4,500 feet, providing ~6,000 feet of clearance). This follows established low-altitude corridors paralleling I-40 and I-10, avoiding higher passes like Raton (7,834 feet) or Wolf Creek (10,850 feet). Key considerations:

Total distance: ~2,500 NM (due to southerly detour).
Fuel stops: Suggested at Chicago (KMDW, ~700 ft), Kansas City (KMCI, ~1,026 ft), Albuquerque (KABQ, ~5,312 ft), and Phoenix (KPHX, ~1,135 ft).
Terrain clearance: Minimum ~3,000 feet along the route; ample at 10,500 feet.
Weather/ops notes: Fly early morning for smoother air; monitor for mountain waves and restricted airspace (e.g., R-5103 near White Sands). Use sectional charts (e.g., Detroit to Phoenix) for navigation aids like VORs (e.g., GYY to ABQ).

The chart below plots the approximate flight path using key waypoints (latitude/longitude) along this low-elevation crossing route. It visualizes the trajectory as a line connecting the points, with longitude on the x-axis and latitude on the y-axis for a simple orthographic projection view.
Grok can make mistakes. Always check original sources.

KEEN
KMDW
KMCI
KABQ
KPHX
KRNM