[PrimeNut]

Sorry, my bad. I gave incorrect advice on how to use the propoker tool. This does not change any recommendations, but for accuracy sake here is the corrected data for my read 9-9- and your read T+8-:

Dead cards: 4T938
Hand Pot equity Wins Ties
(8-8-)T3JA 18.46% 88,451 5,012
(9-9-A)J53 63.14% 308,513 5,066
2A9883 18.39% 90,139 914

Hand Pot equity Wins Ties
(8-8-)T3JA 27.65% 163,855 4,063
(T+8-A)J53 26.68% 158,560 3,081
2A9883 45.67% 273,112 1,802

To analyze your 3rd street call you are either in this position:

dead cards: 4T938
Hand Pot equity Wins Ties
(8-8-)T 19.94% 119,330 589
(9-9-A) 47.47% 284,024 1,620
2A9 32.59% 194,824 1,436

or this one:
Hand Pot equity Wins Ties
(8-8-)T 29.01% 173,817 464
(T+8-A) 24.91% 149,071 810
2A9 46.08% 276,034 882

If your estimate of the maniac's range is correct, averaging the two runs shows you have the proper odds to call. However, it is a high-variance play and you will often be uncertain of how to proceed because you won't know if you are ahead or behind. Personally, I'd pass.