I'd venture a trek via a southern route - following
roughly the I-20 to I-10 route. (before anyone says it - I know the interstates didn't exist then. I meant the general cooridor that they follow)
From an early port in SC (Charleston - est 1670) and one of the shortest routes (to San Diego) the distance is 2400-ish miles. At 10 miles/day that's 240 days. Rounded to 300 days to account for injuries, navigational...err...tangents, and "meetings" with locals, I think would be reasonable. for $10M, sure!
(After getting paid, could I then time travel back a decade or so, get the $10M changed to Canadian $ at 60%, then re-exchange it modern day???

)
Ideally leaving toward the beginning of the spring, that way I would miss the hurricane season while near the Gulf of Mexico - although the TVD would be cold. Using the southern route, I would miss most of the Rockies, save the foothills near the TX/MEX border. I can also bring less extreme clothing/shelter than if I were travelling along the northern route.
Without over thinking it, here goes - weight added for realistic analysis:
Pack:
Mystery Ranch 6500 - 5lbs
Foraging bag - .25lb
Water:
MSR MIOX purifier kit - .5lb
Rechargable batteries - 1lb
Recharger with lightweight solar cells - 2lbs (I mean, come on - if we can build a TIME-FREAKING-MACHINE, we can have lightweight solar, right???)
2quart collapsable canteen - .5lbs
100x iodine tablets - 2lbs
Food:
10x dehydrated meals (for emergency use only) - 3.8lbs
1000 waterproof matches - 2lbs
Shelter:
MSR FLING (2 person tent) - 3.5 lbs
Sleep system - 4lbs
Protection:
M4 with .308 upper and ACOG - 8lbs
300rds 308 - 13lbs
Weapon cleaning kit - 2lbs
Small hatchet - 3lbs
Multi-tool - 1lb
Sharpening stone - .5lb
Clothing:
3x moisture wicking layers - 1.5lbs
2x insulating layers - 2lbs
1x wind proof layers - 1lb
10x socks - 2lbs
Quality boots - 4.5lbs
contact gloves - .25lbs
mittens - 2lbs
knit cap - .25lbs
sewing kit - .5lb
Sunglasses - .25lbs
Nav:
2x Mag Compass - 1lb.
2x silk map
MISC:
Fishing line - 1lb
550 cord, 100ft - 1.5lbs
first aid kit - 3lbs
3x micro-flashlights - .25lbs
Novel - 1lb
perpetual movement watch - .25lbs
5x wire Carabiners - 1.5lbs
PR:
(for trading/gifts)
small polaroid camera with 100 exposures - 4lbs
(for demonstration/scaring the natives, if need be)
2x Whistle - .1lb
5x penflares - 2.8lbs
That puts my total weight - clothing included - at 82.7 lbs. At 10 miles/day, using sound field craft and the "waste not - want not" approach, I'd say it's definately doable. Although, 18 months would be better... that's 4.5 miles/day.
Count me in