If you're talking about the Northern Yucatan, the only answer I can give is "we don't know," although the answer is probably (mostly) hunter-gatherers.
If you're talking about the southern Yucatan near Belize, we have a little bit of a better understanding, and the answer is more likely somewhere in the middle, but still leaning towards hunter-gatherers. This evidence is best summarized by Lohse (2010) which is my main source for this post.
The time period you've specified is located in the Late Archaic period. This is a period of transition between hunter-gatherers and full-time farmers where you saw a mix of subsistence strategies and a range of settlement patterns ranging from semi-mobile to sedentary. The people living in this region at this time lacked ceramics. The earliest ceramics entered Mesoamerica around the Initial Period (c. 2000-1800 BC), but they didn't enter the Maya region until around 1100 BC.
Paleoenvironmental reconstructions (using pollen analysis) show that Maize and Manioc both entered the Maya region around 3400 BC, however at this time they only show up very sporadically. People appear to have subsisted mainly from local resources through a combination of hunting, fishing, and collection of local plants such as tropical fruit. Early domesticated crops dating to this period would be hard to call "agriculture," since there's no evidence of intensification. Instead, it would probably be more accurate to call this "horticulture" in the sense that you get small gardens with maize, manioc, and possibly beans and squash. These were more likely used as fallback foods that could supplement wild resources which are subject to a greater degree of seasonal availability.
Beginning around 2400 BC, there's a dramatic increase in the amount of maize and manioc pollen as well as new evidence of land clearing. This is the period when people begin to make the transition from part-time farmers to full-time farmers, although this transition won't be fully realized until around 1500 BC. It's around then that you get the first large villages that would eventually become the precursors of the first Maya city-states.
So around 2750 BC you would be right on the cusp of the transition from forager-horticulturalists to agriculturalists. People largely depended on local wild resources for the bulk of their food, but domesticated plants were present and people were becoming increasingly reliant on them. The real tipping point towards full-blown agriculture won't come for another 300 years or so, but as this transition was gradual you would have likely have seen a mix of subsistence strategies at this time, with possibly a great amount of variation from community to community.
Of course, you have to be cautious about all of this since there's very little data to go on and we don't have a complete picture of what the regional landscape looked like. It's possible that the sample of Archaic period sites that have been excavated to date aren't representative of Eastern Mesoamerica in which case we could be completely off.