Nice mare. I see a few faults, those hocks are a bit sickled for one thing and her shoulder would like a little more slope to it.
I don't like Slicks. He is SO butt-high, it's not even funny. I know your mare is fairly level, but even so you should be breeding to a stallion that is also fairly level as being butt-high puts more strain on the forelegs which can go on to cause problems. If Slicks was plain bay, with no white, do you think he would still be entire? I doubt it. Bay is "boring" (yes I know that it's not, I have a bay) so there's no point in breeding for it.
Your mare is not just frame, she is also splashed white and most likely sabino. So not only does she have a good chance of throwing frame (50/50) she also has 50/50 of throwing splash, and 50/50 of throwing sabino.
I did a quick colour calculation, and this is what you'd end up with if you bred to a solid chestnut stud.
12.50% - Chestnut Splash
12.50% - Chestnut Sabino/Splash
12.50% - Chestnut Sabino
12.50% - Chestnut Overo
12.50% - Chestnut Frame/Splash
12.50% - Chestnut Frame/Sabino/Splash
12.50% - Chestnut Frame/Sabino
12.50% - Chestnut
Which means, your mare has a MASSIVE 87.5% chance of throwing one of her patterning genes. I honestly don't think you NEED colour to be a big factor when you're breeding, you've got a pretty good chance of ending up with it regardless of the stallion.