OK, that's not a ton indeed. I am not exactly sure about what the rules are for choosing the number of bootstrap replicates in relation to the size of a data set, but perhaps I'd run it for 1000 and 10,000 reps and compare.
One thing: if you really want to show/test for an effect of fire on all species, then a multispecies approach might be valuable, where you combine the analysis of all species, and treat their params (on the logit scale) as random effects drawn from a normal
distribution. These models allow you to make inferences about the community (or "the average species" or "all species") as well as about the individual species. The community-level fire effect may be "sharper" than the fire effects estimated for each individual
species. Drawback is that you have to go Bayes, typically JAGS or NIMBLE.
We show such "dynamic community models", DCMs, in chapter 5 of the AHM2 book, and you can download all the code from the website (unless you want to buy the book of course 😉..)
Marc