Yes, you can combine charitable contributions of cash and property. However, the overall charitable contribution limit is 50% of AGI for individuals. So in your example with AGI of $10,000 (50% = $5,000), the entire charitable contribution is used by the amount of cash contributed. The property may be carried forward 5 years as unused.
I just did the following Becker question:
$5,000,000 AGI
$12,000,000 of property contributed......Limited to 30% of AGI = $1,500,000
$3,000,000 of cash contributed............Limited to 50% of AGI = $2,500,000
Answer. The overall limitation is $2,500,000. The property is taken at $1,500,000, and an additional $1,000,000 can be taken from the cash contributed.
FAR - 68, May
AUD - 82
REG - 71, 71, 80
BEC - 76