Yeah, anytime the game saves, it loads anything a mod uses/adjusts into the savegame informations as well..
When you're restarting that save and it can't find those (now missing) files, the game gets grumpy and decides to throw a fit.. thusly crashing..
You would either need to re-install those mods you had deleted, or retire that particular savegame...
The trouble is, when you go to re-install those mods... unless you re-install in proper order (and if you've used the TSLPatcher) the .2da entries may not be in proper order which might cause even more problems once the game loads... again, assuming you used mods that used .2da files. If not, might be alot easier to get up & running... *
Probably not what you want to hear, but unless you only need to re-install 2-3 mods.. I personally would retire the saves..
If you think you might know the items giving you trouble, you could try using KSE to delete the modded items from your Party's inventory.. assuming it's items causing it, KSE would more than likely rescue your save :)
KotOR Savegame Editor:
http://www.starwarsknights.com/tools.php)
EDIT: Hold on a tick... that may not be right. Assuming a mod uses the TSLPatcher you might be in better/safer waters since it would change the .uti as well... OK, sorry about that... I haven't had my coffee yet :xp: hehehe
* EDIT 2: Unstriked my edit.. thanks Darkkender for the reminder :D