Recharge Magic, Archmage spell-like ability

[Voadam]

I'm implementing the recharge magic system from UA into my ongoing high level game http://www.d20srd.org/srd/variant/magic/rechargeMagic.htm

One of my players PC is an archmage with high arcana spell-like ability for greater teleport.

Spell-Like Ability
An archmage who selects this type of high arcana can use one of her arcane spell slots (other than a slot expended to learn this or any other type of high arcana) to permanently prepare one of her arcane spells as a spell-like ability that can be used twice per day. The archmage does not use any components when casting the spell, although a spell that costs XP to cast still does so and a spell with a costly material component instead costs her 10 times that amount in XP. This ability costs one 5th-level spell slot.

The spell-like ability normally uses a spell slot of the spell’s level, although the archmage can choose to make a spell modified by a metamagic feat into a spell-like ability at the appropriate spell level.

The archmage may use an available higher-level spell slot in order to use the spell-like ability more often. Using a slot three levels higher than the chosen spell allows her to use the spell-like ability four times per day, and a slot six levels higher lets her use it six times per day.

If spell-like ability is selected more than one time as a high arcana choice, this ability can apply to the same spell chosen the first time (increasing the number of times per day it can be used) or to a different spell.

Any suggestions on what to do with this class feature when changing over to recharge magic?

Normally one 7th level slot could be the teleport multiple times a day with recharge time of 4 hours in between.

As written the high arcana allows him to teleport 2/day as a SLA at a permanent cost of a 5th and 7th level slot. Even though this allows a quicker second teleport and the ability to teleport out of grapples (since it is an SLA) it does not seem a good tradeoff in the recharge system since the two spells could be done by using greater teleport and teleport in the two slots. The high arcana can still have his two teleports and use his other 7th and 5th level spells though without waiting for them to recharge.

I'm thinking about making the greater teleport become a general recharge SLA in this system so it can be done every couple of rounds instead of the normal 4 hour recharge.