No Atmel do not have 10 or 12 Pin Tinys (with full features)
The Reset Pin
Using the reset pin as anything else does carry the risk of you becoming unable to reprogram the MCU without the use of HVPP (High Voltage programming)
A poor-mans 2:1 multiplexer can often just be a pair of FETs, so if you have the room for a few external components then that would solve your problem.
As for driving LEDs and motors I will take this opportunity to remind you to make use of suitable drive circuits for these. I would advise against direct drive, especially for the motor (being an inductive load and all).
Below is a suggestion for a motor drive. (Components would depend on your needs.)
simulate this circuit – Schematic created using CircuitLab
Space vs Cost
Saving cost and saving space in electronics are often a compromise, you can get an Atmel MCU in a size that is smaller than a tiny, but you will need a PCB, I would recommend trying a TQFP break board or similar. If you are prepared to move to an SMT package then your space vs function problems will disappear.
If you move to a custom PCB design, you can probably get all of your drive circuitry in SMT packages and squeeze it into a very small space.
A custom board will cost you, although there are cheap sources.
It sounds to me like if space is really that important then you should investigate a solution with SMT parts and a custom PCB.