How would it work out? Quite well! The M5 Ushabti would be your slowest unit outside of the move-and-shoot lich bunker, and with no real battle line, you choose the time and place of melee combat. It'll be virtually impossible for your opponent to force a matchup of his choosing, since you have no casket or catapult to protect.
Why take a prince at all? You don't have to any more since the new book came out.
if anything but his premiere hammer (executioners, black orcs, hammerers, whatever) unit goes after the lich bunker, it gets smashed by the fast elements in your list. if he sends his hammer after them, they're worth around 300 points, including the character (and you can possibly save him by having him leave the unit and play charge/overrun angle shenanigans), so you just eat the rest of his list while ensuring that the hammer unit that went after your archers is drawn so far away that they're sidelined for tge rest of the game. Seriously, not having a traditional battle line for the enemy to sink his teeth into can be a huge advantage.
anyway, at 1250, few people can deal with two squadrons of chariots, four shabs, and a warsphinx. why? cause they have to spend over 300 points on core...core that, in most armies, can't fight your units. it really is unfair to have core chariots, not only do they fight like specials, they allow you to avoid taking weak infantry for 1/4 of your points. and then they probably have a caster and a BSB. you don't have a BSB. another advantage, fewer points spent on characters! seriously, your opponent is lucky to have 600 points to spend after he's bought a (caster) general and BSB plus 300 points worth of...what? empire halberdiers? DE warriors? Meanwhile, you have a 210 point character and 120 points worth of archers, meaning that the dangerous part of your list is 900 points to his 600.
