Plenty is used as an adverb in American English, but not arbitrarily so, and usually not merely to add emphasis. I would honestly never think to use it in the examples you have suggested.
A search on "plenty" followed by another adverb in the Corpus of Contemporary American English returns these frequency results at the top:
CONTEXT FREQ
- PLENTY MORE 294
- PLENTY BIG 28
- PLENTY FAST 28
- PLENTY GOOD 27
- PLENTY ENOUGH 21
- PLENTY ELSE 20
- PLENTY LONG 19
- PLENTY THERE 11
- PLENTY HERE 11
- PLENTY HARD 8
- PLENTY HIGH 7
- PLENTY LOUD 7
- PLENTY NOW 7
- PLENTY DEEP 7
- PLENTY ELSEWHERE 6
- PLENTY OUT 6
- PLENTY IN 6
- PLENTY RIGHT 6
- PLENTY QUICK 5
- PLENTY BAD 5
- PLENTY ALREADY 5
With adjectives, the top results are
- PLENTY TOUGH 30
- PLENTY BIG 19
- PLENTY WARM 19
- PLENTY STRONG 17
- PLENTY GOOD 15
- PLENTY HOT 14
- PLENTY BUSY 13
- PLENTY BRIGHT 13
- PLENTY ACCURATE 11
- PLENTY SMART 11
- PLENTY DURABLE 9
- PLENTY OLD 9
- PLENTY STURDY 7
- PLENTY LARGE 6
- PLENTY MAD 6
- PLENTY HAPPY 5
- PLENTY CAPABLE 5
- PLENTY OTHER 5
- PLENTY RICH 5
- PLENTY ROOMY 5
As you can see, plenty more is the most common formulation by a full order of magnitude. It is found in common expressions like plenty more where that came from and there's plenty more ahead (or other expressions of something forthcoming or anticipated), so not only will you encounter it more often, but it is more likely to be accepted than others.
There are instances of plenty long in a variety of sources, whereas plenty easy occurs only once, in spoken dialog in fiction, and plenty much does not appear at all. This maps to my own instinct; I can't think of any native speakers of American English I know who would say There's plenty much information about it on the net. To say there is an abundance of information,
There's plenty of information about it on the net
would be fine in speech, and
There is much information about it on the net
would be fine in writing, and to add emphasis I would likely use different constructions entirely, like there's a whole lot of information or there is a great deal of information.
In cases like most of the appearances of plenty long, plenty is not an intensifer. Rather it communicates that something is adequately or satisfactorily long, though not as explicitly as saying long enough. Indeed, the AHD one-word definition of adverbial plenty is
Sufficiently.