You may want to consider starting small & working your way up to reach your goal. Rental biz is not an easy biz to launch unless you have the money to do so and your budget is far too low. In order to own a homestead, you must already own a full sim. Meanwhile, I'm sure you can see from the US pricing below that it is highly unlikely someone would subsdize your venture. $L3800 per week is around L$16,466.67 per month and as you can see below, a Homestead is about L$31,250.00 per month in tier.
http://community.secondlife.com/t5/English-Knowledge-Base/Private-Regions/ta-p/700133#Section_.3.2
Pricing for Homesteads is as follows:
Setup fee of $375
Monthly fee of $125
You may consider working for an estate, get your feet wet & see what comes from that.
Regardless, I wish you luck.